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Finding the Fourth Proportional to 142,590.30, 213,913.13 and 42,742.13

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Solution

The fourth proportional to 142,590.30, 213,913.13 and 42,742.13 is: 64,121.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,590.30 : 213,913.13 = 42,742.13 : x
  2. Step 2: Convert to fraction form
    142,590.30/213,913.13 = 42,742.13/x
  3. Step 3: Cross multiply
    142,590.30x = 213,913.13 × 42,742.13
  4. Step 4: Simplify right side
    142,590.30x = 9,143,101,527.89
  5. Step 5: Solve for x
    x = 9,143,101,527.89/142,590.30
  6. Step 6: Final answer
    x = 64,121.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.