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Finding the Fourth Proportional to 100,159.90, 138,220.28 and 57,139.32

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Solution

The fourth proportional to 100,159.90, 138,220.28 and 57,139.32 is: 78,852.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,159.90 : 138,220.28 = 57,139.32 : x
  2. Step 2: Convert to fraction form
    100,159.90/138,220.28 = 57,139.32/x
  3. Step 3: Cross multiply
    100,159.90x = 138,220.28 × 57,139.32
  4. Step 4: Simplify right side
    100,159.90x = 7,897,812,809.41
  5. Step 5: Solve for x
    x = 7,897,812,809.41/100,159.90
  6. Step 6: Final answer
    x = 78,852.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.