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Finding the Fourth Proportional to 128,532.80, 177,373.32 and 71,946.20

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Solution

The fourth proportional to 128,532.80, 177,373.32 and 71,946.20 is: 99,284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,532.80 : 177,373.32 = 71,946.20 : x
  2. Step 2: Convert to fraction form
    128,532.80/177,373.32 = 71,946.20/x
  3. Step 3: Cross multiply
    128,532.80x = 177,373.32 × 71,946.20
  4. Step 4: Simplify right side
    128,532.80x = 12,761,336,355.38
  5. Step 5: Solve for x
    x = 12,761,336,355.38/128,532.80
  6. Step 6: Final answer
    x = 99,284.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.