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Finding the Fourth Proportional to 99,652.80, 149,306.40 and 64,574.40

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Solution

The fourth proportional to 99,652.80, 149,306.40 and 64,574.40 is: 96,749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,652.80 : 149,306.40 = 64,574.40 : x
  2. Step 2: Convert to fraction form
    99,652.80/149,306.40 = 64,574.40/x
  3. Step 3: Cross multiply
    99,652.80x = 149,306.40 × 64,574.40
  4. Step 4: Simplify right side
    99,652.80x = 9,641,371,196.16
  5. Step 5: Solve for x
    x = 9,641,371,196.16/99,652.80
  6. Step 6: Final answer
    x = 96,749.63

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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.