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Finding the Fourth Proportional to 292,062.16, 403,046.22 and 157,926.16

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Solution

The fourth proportional to 292,062.16, 403,046.22 and 157,926.16 is: 217,938.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,062.16 : 403,046.22 = 157,926.16 : x
  2. Step 2: Convert to fraction form
    292,062.16/403,046.22 = 157,926.16/x
  3. Step 3: Cross multiply
    292,062.16x = 403,046.22 × 157,926.16
  4. Step 4: Simplify right side
    292,062.16x = 63,651,541,827.12
  5. Step 5: Solve for x
    x = 63,651,541,827.12/292,062.16
  6. Step 6: Final answer
    x = 217,938.34

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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.