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Finding the Fourth Proportional to 459,617.63, 689,426.65 and 144,099.14

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Solution

The fourth proportional to 459,617.63, 689,426.65 and 144,099.14 is: 216,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,617.63 : 689,426.65 = 144,099.14 : x
  2. Step 2: Convert to fraction form
    459,617.63/689,426.65 = 144,099.14/x
  3. Step 3: Cross multiply
    459,617.63x = 689,426.65 × 144,099.14
  4. Step 4: Simplify right side
    459,617.63x = 99,345,787,358.08
  5. Step 5: Solve for x
    x = 99,345,787,358.08/459,617.63
  6. Step 6: Final answer
    x = 216,148.77

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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.