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Finding the Fourth Proportional to 169,142.74, 233,416.96 and 101,159.70

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Solution

The fourth proportional to 169,142.74, 233,416.96 and 101,159.70 is: 139,600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,142.74 : 233,416.96 = 101,159.70 : x
  2. Step 2: Convert to fraction form
    169,142.74/233,416.96 = 101,159.70/x
  3. Step 3: Cross multiply
    169,142.74x = 233,416.96 × 101,159.70
  4. Step 4: Simplify right side
    169,142.74x = 23,612,390,650.28
  5. Step 5: Solve for x
    x = 23,612,390,650.28/169,142.74
  6. Step 6: Final answer
    x = 139,600.38

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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.