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Finding the Fourth Proportional to 113,451.32, 156,549.24 and 65,698.16

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Solution

The fourth proportional to 113,451.32, 156,549.24 and 65,698.16 is: 90,655.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,451.32 : 156,549.24 = 65,698.16 : x
  2. Step 2: Convert to fraction form
    113,451.32/156,549.24 = 65,698.16/x
  3. Step 3: Cross multiply
    113,451.32x = 156,549.24 × 65,698.16
  4. Step 4: Simplify right side
    113,451.32x = 10,284,997,017.40
  5. Step 5: Solve for x
    x = 10,284,997,017.40/113,451.32
  6. Step 6: Final answer
    x = 90,655.60

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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.