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Finding the Fourth Proportional to 133,493.70, 199,948.95 and 103,677.60

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Solution

The fourth proportional to 133,493.70, 199,948.95 and 103,677.60 is: 155,289.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,493.70 : 199,948.95 = 103,677.60 : x
  2. Step 2: Convert to fraction form
    133,493.70/199,948.95 = 103,677.60/x
  3. Step 3: Cross multiply
    133,493.70x = 199,948.95 × 103,677.60
  4. Step 4: Simplify right side
    133,493.70x = 20,730,227,258.52
  5. Step 5: Solve for x
    x = 20,730,227,258.52/133,493.70
  6. Step 6: Final answer
    x = 155,289.93

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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.