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Finding the Fourth Proportional to 292,031.50, 403,003.48 and 157,895.50

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Solution

The fourth proportional to 292,031.50, 403,003.48 and 157,895.50 is: 217,895.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,031.50 : 403,003.48 = 157,895.50 : x
  2. Step 2: Convert to fraction form
    292,031.50/403,003.48 = 157,895.50/x
  3. Step 3: Cross multiply
    292,031.50x = 403,003.48 × 157,895.50
  4. Step 4: Simplify right side
    292,031.50x = 63,632,435,976.34
  5. Step 5: Solve for x
    x = 63,632,435,976.34/292,031.50
  6. Step 6: Final answer
    x = 217,895.80

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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.