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Finding the Fourth Proportional to 354,746.66, 532,105.07 and 165,141.86

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Solution

The fourth proportional to 354,746.66, 532,105.07 and 165,141.86 is: 247,705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,746.66 : 532,105.07 = 165,141.86 : x
  2. Step 2: Convert to fraction form
    354,746.66/532,105.07 = 165,141.86/x
  3. Step 3: Cross multiply
    354,746.66x = 532,105.07 × 165,141.86
  4. Step 4: Simplify right side
    354,746.66x = 87,872,817,489.00
  5. Step 5: Solve for x
    x = 87,872,817,489.00/354,746.66
  6. Step 6: Final answer
    x = 247,705.84

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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.