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Finding the Fourth Proportional to 99,085.60, 148,455.60 and 82,551.84

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Solution

The fourth proportional to 99,085.60, 148,455.60 and 82,551.84 is: 123,683.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,085.60 : 148,455.60 = 82,551.84 : x
  2. Step 2: Convert to fraction form
    99,085.60/148,455.60 = 82,551.84/x
  3. Step 3: Cross multiply
    99,085.60x = 148,455.60 × 82,551.84
  4. Step 4: Simplify right side
    99,085.60x = 12,255,282,938.30
  5. Step 5: Solve for x
    x = 12,255,282,938.30/99,085.60
  6. Step 6: Final answer
    x = 123,683.79

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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.