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Finding the Fourth Proportional to 535,147.76, 802,839.71 and 156,098.15

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Solution

The fourth proportional to 535,147.76, 802,839.71 and 156,098.15 is: 234,181.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,147.76 : 802,839.71 = 156,098.15 : x
  2. Step 2: Convert to fraction form
    535,147.76/802,839.71 = 156,098.15/x
  3. Step 3: Cross multiply
    535,147.76x = 802,839.71 × 156,098.15
  4. Step 4: Simplify right side
    535,147.76x = 125,321,793,477.54
  5. Step 5: Solve for x
    x = 125,321,793,477.54/535,147.76
  6. Step 6: Final answer
    x = 234,181.67

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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.