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Finding the Fourth Proportional to 120,148.90, 165,801.40 and 69,154.56

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Solution

The fourth proportional to 120,148.90, 165,801.40 and 69,154.56 is: 95,430.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,148.90 : 165,801.40 = 69,154.56 : x
  2. Step 2: Convert to fraction form
    120,148.90/165,801.40 = 69,154.56/x
  3. Step 3: Cross multiply
    120,148.90x = 165,801.40 × 69,154.56
  4. Step 4: Simplify right side
    120,148.90x = 11,465,922,864.38
  5. Step 5: Solve for x
    x = 11,465,922,864.38/120,148.90
  6. Step 6: Final answer
    x = 95,430.94

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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.