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Finding the Fourth Proportional to 101,752.32, 140,419.36 and 56,431.20

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Solution

The fourth proportional to 101,752.32, 140,419.36 and 56,431.20 is: 77,875.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,752.32 : 140,419.36 = 56,431.20 : x
  2. Step 2: Convert to fraction form
    101,752.32/140,419.36 = 56,431.20/x
  3. Step 3: Cross multiply
    101,752.32x = 140,419.36 × 56,431.20
  4. Step 4: Simplify right side
    101,752.32x = 7,924,032,988.03
  5. Step 5: Solve for x
    x = 7,924,032,988.03/101,752.32
  6. Step 6: Final answer
    x = 77,875.70

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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.