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Finding the Fourth Proportional to 459,617.13, 689,425.90 and 144,098.64

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Solution

The fourth proportional to 459,617.13, 689,425.90 and 144,098.64 is: 216,148.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,617.13 : 689,425.90 = 144,098.64 : x
  2. Step 2: Convert to fraction form
    459,617.13/689,425.90 = 144,098.64/x
  3. Step 3: Cross multiply
    459,617.13x = 689,425.90 × 144,098.64
  4. Step 4: Simplify right side
    459,617.13x = 99,345,334,210.53
  5. Step 5: Solve for x
    x = 99,345,334,210.53/459,617.13
  6. Step 6: Final answer
    x = 216,148.02

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Why These Related Problems?

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