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Finding the Fourth Proportional to 142,654.32, 214,017 and 42,816.36

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Solution

The fourth proportional to 142,654.32, 214,017 and 42,816.36 is: 64,235.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,654.32 : 214,017 = 42,816.36 : x
  2. Step 2: Convert to fraction form
    142,654.32/214,017 = 42,816.36/x
  3. Step 3: Cross multiply
    142,654.32x = 214,017 × 42,816.36
  4. Step 4: Simplify right side
    142,654.32x = 9,163,428,918.12
  5. Step 5: Solve for x
    x = 9,163,428,918.12/142,654.32
  6. Step 6: Final answer
    x = 64,235.20

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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.