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Finding the Fourth Proportional to 132,035.40, 197,834.40 and 112,352.40

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Solution

The fourth proportional to 132,035.40, 197,834.40 and 112,352.40 is: 168,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,035.40 : 197,834.40 = 112,352.40 : x
  2. Step 2: Convert to fraction form
    132,035.40/197,834.40 = 112,352.40/x
  3. Step 3: Cross multiply
    132,035.40x = 197,834.40 × 112,352.40
  4. Step 4: Simplify right side
    132,035.40x = 22,227,169,642.56
  5. Step 5: Solve for x
    x = 22,227,169,642.56/132,035.40
  6. Step 6: Final answer
    x = 168,342.50

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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.