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Finding the Fourth Proportional to 142,650, 213,974.76 and 42,810

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Solution

The fourth proportional to 142,650, 213,974.76 and 42,810 is: 64,214.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,650 : 213,974.76 = 42,810 : x
  2. Step 2: Convert to fraction form
    142,650/213,974.76 = 42,810/x
  3. Step 3: Cross multiply
    142,650x = 213,974.76 × 42,810
  4. Step 4: Simplify right side
    142,650x = 9,160,259,475.60
  5. Step 5: Solve for x
    x = 9,160,259,475.60/142,650
  6. Step 6: Final answer
    x = 64,214.93

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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.