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Finding the Fourth Proportional to 142,704.76, 214,048.92 and 42,862.74

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Solution

The fourth proportional to 142,704.76, 214,048.92 and 42,862.74 is: 64,291.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,704.76 : 214,048.92 = 42,862.74 : x
  2. Step 2: Convert to fraction form
    142,704.76/214,048.92 = 42,862.74/x
  3. Step 3: Cross multiply
    142,704.76x = 214,048.92 × 42,862.74
  4. Step 4: Simplify right side
    142,704.76x = 9,174,723,205.24
  5. Step 5: Solve for x
    x = 9,174,723,205.24/142,704.76
  6. Step 6: Final answer
    x = 64,291.64

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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.