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Finding the Fourth Proportional to 142,648.40, 213,972.60 and 101,176.40

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Solution

The fourth proportional to 142,648.40, 213,972.60 and 101,176.40 is: 151,764.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,648.40 : 213,972.60 = 101,176.40 : x
  2. Step 2: Convert to fraction form
    142,648.40/213,972.60 = 101,176.40/x
  3. Step 3: Cross multiply
    142,648.40x = 213,972.60 × 101,176.40
  4. Step 4: Simplify right side
    142,648.40x = 21,648,977,366.64
  5. Step 5: Solve for x
    x = 21,648,977,366.64/142,648.40
  6. Step 6: Final answer
    x = 151,764.60

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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.