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Finding the Fourth Proportional to 99,225.60, 148,889.46 and 54,844.08

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Solution

The fourth proportional to 99,225.60, 148,889.46 and 54,844.08 is: 82,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,225.60 : 148,889.46 = 54,844.08 : x
  2. Step 2: Convert to fraction form
    99,225.60/148,889.46 = 54,844.08/x
  3. Step 3: Cross multiply
    99,225.60x = 148,889.46 × 54,844.08
  4. Step 4: Simplify right side
    99,225.60x = 8,165,705,455.40
  5. Step 5: Solve for x
    x = 8,165,705,455.40/99,225.60
  6. Step 6: Final answer
    x = 82,294.34

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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.