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Finding the Fourth Proportional to 165,306.16, 247,865.91 and 151,200.01

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Solution

The fourth proportional to 165,306.16, 247,865.91 and 151,200.01 is: 226,714.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,306.16 : 247,865.91 = 151,200.01 : x
  2. Step 2: Convert to fraction form
    165,306.16/247,865.91 = 151,200.01/x
  3. Step 3: Cross multiply
    165,306.16x = 247,865.91 × 151,200.01
  4. Step 4: Simplify right side
    165,306.16x = 37,477,328,070.66
  5. Step 5: Solve for x
    x = 37,477,328,070.66/165,306.16
  6. Step 6: Final answer
    x = 226,714.65

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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.