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Finding the Fourth Proportional to 232,465.87, 348,365.85 and 132,419.50

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Solution

The fourth proportional to 232,465.87, 348,365.85 and 132,419.50 is: 198,439.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,465.87 : 348,365.85 = 132,419.50 : x
  2. Step 2: Convert to fraction form
    232,465.87/348,365.85 = 132,419.50/x
  3. Step 3: Cross multiply
    232,465.87x = 348,365.85 × 132,419.50
  4. Step 4: Simplify right side
    232,465.87x = 46,130,430,803.16
  5. Step 5: Solve for x
    x = 46,130,430,803.16/232,465.87
  6. Step 6: Final answer
    x = 198,439.59

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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.