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Finding the Fourth Proportional to 459,714.96, 689,659.92 and 144,087.12

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Solution

The fourth proportional to 459,714.96, 689,659.92 and 144,087.12 is: 216,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,714.96 : 689,659.92 = 144,087.12 : x
  2. Step 2: Convert to fraction form
    459,714.96/689,659.92 = 144,087.12/x
  3. Step 3: Cross multiply
    459,714.96x = 689,659.92 × 144,087.12
  4. Step 4: Simplify right side
    459,714.96x = 99,371,111,652.23
  5. Step 5: Solve for x
    x = 99,371,111,652.23/459,714.96
  6. Step 6: Final answer
    x = 216,158.10

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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.