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Finding the Fourth Proportional to 347,148.35, 520,734.01 and 119,441.76

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Solution

The fourth proportional to 347,148.35, 520,734.01 and 119,441.76 is: 179,166.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,148.35 : 520,734.01 = 119,441.76 : x
  2. Step 2: Convert to fraction form
    347,148.35/520,734.01 = 119,441.76/x
  3. Step 3: Cross multiply
    347,148.35x = 520,734.01 × 119,441.76
  4. Step 4: Simplify right side
    347,148.35x = 62,197,386,646.26
  5. Step 5: Solve for x
    x = 62,197,386,646.26/347,148.35
  6. Step 6: Final answer
    x = 179,166.59

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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.