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Finding the Fourth Proportional to 132,534.40, 198,801.60 and 49,417.60

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Solution

The fourth proportional to 132,534.40, 198,801.60 and 49,417.60 is: 74,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,534.40 : 198,801.60 = 49,417.60 : x
  2. Step 2: Convert to fraction form
    132,534.40/198,801.60 = 49,417.60/x
  3. Step 3: Cross multiply
    132,534.40x = 198,801.60 × 49,417.60
  4. Step 4: Simplify right side
    132,534.40x = 9,824,297,948.16
  5. Step 5: Solve for x
    x = 9,824,297,948.16/132,534.40
  6. Step 6: Final answer
    x = 74,126.40

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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.