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Finding the Fourth Proportional to 292,160, 403,181.52 and 158,024

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Solution

The fourth proportional to 292,160, 403,181.52 and 158,024 is: 218,073.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,160 : 403,181.52 = 158,024 : x
  2. Step 2: Convert to fraction form
    292,160/403,181.52 = 158,024/x
  3. Step 3: Cross multiply
    292,160x = 403,181.52 × 158,024
  4. Step 4: Simplify right side
    292,160x = 63,712,356,516.48
  5. Step 5: Solve for x
    x = 63,712,356,516.48/292,160
  6. Step 6: Final answer
    x = 218,073.51

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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.