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Finding the Fourth Proportional to 142,259.14, 213,388.71 and 42,489.42

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Solution

The fourth proportional to 142,259.14, 213,388.71 and 42,489.42 is: 63,734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,259.14 : 213,388.71 = 42,489.42 : x
  2. Step 2: Convert to fraction form
    142,259.14/213,388.71 = 42,489.42/x
  3. Step 3: Cross multiply
    142,259.14x = 213,388.71 × 42,489.42
  4. Step 4: Simplify right side
    142,259.14x = 9,066,762,522.45
  5. Step 5: Solve for x
    x = 9,066,762,522.45/142,259.14
  6. Step 6: Final answer
    x = 63,734.13

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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.