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Finding the Fourth Proportional to 107,452.44, 148,246.47 and 61,478.50

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Solution

The fourth proportional to 107,452.44, 148,246.47 and 61,478.50 is: 84,818.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,452.44 : 148,246.47 = 61,478.50 : x
  2. Step 2: Convert to fraction form
    107,452.44/148,246.47 = 61,478.50/x
  3. Step 3: Cross multiply
    107,452.44x = 148,246.47 × 61,478.50
  4. Step 4: Simplify right side
    107,452.44x = 9,113,970,605.90
  5. Step 5: Solve for x
    x = 9,113,970,605.90/107,452.44
  6. Step 6: Final answer
    x = 84,818.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.