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Finding the Fourth Proportional to 232,898.47, 349,098.56 and 120,465.50

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Solution

The fourth proportional to 232,898.47, 349,098.56 and 120,465.50 is: 180,569.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,898.47 : 349,098.56 = 120,465.50 : x
  2. Step 2: Convert to fraction form
    232,898.47/349,098.56 = 120,465.50/x
  3. Step 3: Cross multiply
    232,898.47x = 349,098.56 × 120,465.50
  4. Step 4: Simplify right side
    232,898.47x = 42,054,330,231.86
  5. Step 5: Solve for x
    x = 42,054,330,231.86/232,898.47
  6. Step 6: Final answer
    x = 180,569.37

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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.