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Finding the Fourth Proportional to 142,894.74, 213,921.68 and 95,392.02

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Solution

The fourth proportional to 142,894.74, 213,921.68 and 95,392.02 is: 142,807.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,894.74 : 213,921.68 = 95,392.02 : x
  2. Step 2: Convert to fraction form
    142,894.74/213,921.68 = 95,392.02/x
  3. Step 3: Cross multiply
    142,894.74x = 213,921.68 × 95,392.02
  4. Step 4: Simplify right side
    142,894.74x = 20,406,420,700.03
  5. Step 5: Solve for x
    x = 20,406,420,700.03/142,894.74
  6. Step 6: Final answer
    x = 142,807.36

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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.