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Finding the Fourth Proportional to 165,411.70, 248,117.55 and 102,282.10

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Solution

The fourth proportional to 165,411.70, 248,117.55 and 102,282.10 is: 153,423.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,411.70 : 248,117.55 = 102,282.10 : x
  2. Step 2: Convert to fraction form
    165,411.70/248,117.55 = 102,282.10/x
  3. Step 3: Cross multiply
    165,411.70x = 248,117.55 × 102,282.10
  4. Step 4: Simplify right side
    165,411.70x = 25,377,984,060.86
  5. Step 5: Solve for x
    x = 25,377,984,060.86/165,411.70
  6. Step 6: Final answer
    x = 153,423.15

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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.