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Finding the Fourth Proportional to 233,148.92, 350,073.30 and 133,421.72

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Solution

The fourth proportional to 233,148.92, 350,073.30 and 133,421.72 is: 200,332.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,148.92 : 350,073.30 = 133,421.72 : x
  2. Step 2: Convert to fraction form
    233,148.92/350,073.30 = 133,421.72/x
  3. Step 3: Cross multiply
    233,148.92x = 350,073.30 × 133,421.72
  4. Step 4: Simplify right side
    233,148.92x = 46,707,381,812.08
  5. Step 5: Solve for x
    x = 46,707,381,812.08/233,148.92
  6. Step 6: Final answer
    x = 200,332.83

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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.