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Finding the Fourth Proportional to 102,400.66, 153,543.12 and 42,395.20

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Solution

The fourth proportional to 102,400.66, 153,543.12 and 42,395.20 is: 63,568.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,400.66 : 153,543.12 = 42,395.20 : x
  2. Step 2: Convert to fraction form
    102,400.66/153,543.12 = 42,395.20/x
  3. Step 3: Cross multiply
    102,400.66x = 153,543.12 × 42,395.20
  4. Step 4: Simplify right side
    102,400.66x = 6,509,491,281.02
  5. Step 5: Solve for x
    x = 6,509,491,281.02/102,400.66
  6. Step 6: Final answer
    x = 63,568.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.