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Finding the Fourth Proportional to 292,034, 403,006.92 and 157,898

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Solution

The fourth proportional to 292,034, 403,006.92 and 157,898 is: 217,899.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,034 : 403,006.92 = 157,898 : x
  2. Step 2: Convert to fraction form
    292,034/403,006.92 = 157,898/x
  3. Step 3: Cross multiply
    292,034x = 403,006.92 × 157,898
  4. Step 4: Simplify right side
    292,034x = 63,633,986,654.16
  5. Step 5: Solve for x
    x = 63,633,986,654.16/292,034
  6. Step 6: Final answer
    x = 217,899.24

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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.