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Finding the Fourth Proportional to 127,740.52, 176,283.30 and 71,155

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Solution

The fourth proportional to 127,740.52, 176,283.30 and 71,155 is: 98,194.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,740.52 : 176,283.30 = 71,155 : x
  2. Step 2: Convert to fraction form
    127,740.52/176,283.30 = 71,155/x
  3. Step 3: Cross multiply
    127,740.52x = 176,283.30 × 71,155
  4. Step 4: Simplify right side
    127,740.52x = 12,543,438,211.50
  5. Step 5: Solve for x
    x = 12,543,438,211.50/127,740.52
  6. Step 6: Final answer
    x = 98,194.67

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