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Finding the Fourth Proportional to 132,364, 198,460.90 and 87,333.32

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Solution

The fourth proportional to 132,364, 198,460.90 and 87,333.32 is: 130,943.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,364 : 198,460.90 = 87,333.32 : x
  2. Step 2: Convert to fraction form
    132,364/198,460.90 = 87,333.32/x
  3. Step 3: Cross multiply
    132,364x = 198,460.90 × 87,333.32
  4. Step 4: Simplify right side
    132,364x = 17,332,249,287.19
  5. Step 5: Solve for x
    x = 17,332,249,287.19/132,364
  6. Step 6: Final answer
    x = 130,943.83

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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.