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Finding the Fourth Proportional to 113,154.64, 156,155.88 and 65,410

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Solution

The fourth proportional to 113,154.64, 156,155.88 and 65,410 is: 90,267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,154.64 : 156,155.88 = 65,410 : x
  2. Step 2: Convert to fraction form
    113,154.64/156,155.88 = 65,410/x
  3. Step 3: Cross multiply
    113,154.64x = 156,155.88 × 65,410
  4. Step 4: Simplify right side
    113,154.64x = 10,214,156,110.80
  5. Step 5: Solve for x
    x = 10,214,156,110.80/113,154.64
  6. Step 6: Final answer
    x = 90,267.23

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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.