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Finding the Fourth Proportional to 292,143.50, 403,158.06 and 158,007.50

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Solution

The fourth proportional to 292,143.50, 403,158.06 and 158,007.50 is: 218,050.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,143.50 : 403,158.06 = 158,007.50 : x
  2. Step 2: Convert to fraction form
    292,143.50/403,158.06 = 158,007.50/x
  3. Step 3: Cross multiply
    292,143.50x = 403,158.06 × 158,007.50
  4. Step 4: Simplify right side
    292,143.50x = 63,701,997,165.45
  5. Step 5: Solve for x
    x = 63,701,997,165.45/292,143.50
  6. Step 6: Final answer
    x = 218,050.37

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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.