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Finding the Fourth Proportional to 149,838.60, 225,017.10 and 97,480.20

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Solution

The fourth proportional to 149,838.60, 225,017.10 and 97,480.20 is: 146,388.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,838.60 : 225,017.10 = 97,480.20 : x
  2. Step 2: Convert to fraction form
    149,838.60/225,017.10 = 97,480.20/x
  3. Step 3: Cross multiply
    149,838.60x = 225,017.10 × 97,480.20
  4. Step 4: Simplify right side
    149,838.60x = 21,934,711,911.42
  5. Step 5: Solve for x
    x = 21,934,711,911.42/149,838.60
  6. Step 6: Final answer
    x = 146,388.93

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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.