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Finding the Fourth Proportional to 209,000.01, 288,421.70 and 113,507.38

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Solution

The fourth proportional to 209,000.01, 288,421.70 and 113,507.38 is: 156,641.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,000.01 : 288,421.70 = 113,507.38 : x
  2. Step 2: Convert to fraction form
    209,000.01/288,421.70 = 113,507.38/x
  3. Step 3: Cross multiply
    209,000.01x = 288,421.70 × 113,507.38
  4. Step 4: Simplify right side
    209,000.01x = 32,737,992,223.20
  5. Step 5: Solve for x
    x = 32,737,992,223.20/209,000.01
  6. Step 6: Final answer
    x = 156,641.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.