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Finding the Fourth Proportional to 292,089.50, 403,083.54 and 157,953.50

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Solution

The fourth proportional to 292,089.50, 403,083.54 and 157,953.50 is: 217,975.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,089.50 : 403,083.54 = 157,953.50 : x
  2. Step 2: Convert to fraction form
    292,089.50/403,083.54 = 157,953.50/x
  3. Step 3: Cross multiply
    292,089.50x = 403,083.54 × 157,953.50
  4. Step 4: Simplify right side
    292,089.50x = 63,668,455,935.39
  5. Step 5: Solve for x
    x = 63,668,455,935.39/292,089.50
  6. Step 6: Final answer
    x = 217,975.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.