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Finding the Fourth Proportional to 156,980.90, 235,471.35 and 97,883.30

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Solution

The fourth proportional to 156,980.90, 235,471.35 and 97,883.30 is: 146,824.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,980.90 : 235,471.35 = 97,883.30 : x
  2. Step 2: Convert to fraction form
    156,980.90/235,471.35 = 97,883.30/x
  3. Step 3: Cross multiply
    156,980.90x = 235,471.35 × 97,883.30
  4. Step 4: Simplify right side
    156,980.90x = 23,048,712,793.46
  5. Step 5: Solve for x
    x = 23,048,712,793.46/156,980.90
  6. Step 6: Final answer
    x = 146,824.95

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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.