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Finding the Fourth Proportional to 142,233.40, 213,347.44 and 42,461.24

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Solution

The fourth proportional to 142,233.40, 213,347.44 and 42,461.24 is: 63,691.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,233.40 : 213,347.44 = 42,461.24 : x
  2. Step 2: Convert to fraction form
    142,233.40/213,347.44 = 42,461.24/x
  3. Step 3: Cross multiply
    142,233.40x = 213,347.44 × 42,461.24
  4. Step 4: Simplify right side
    142,233.40x = 9,058,996,853.23
  5. Step 5: Solve for x
    x = 9,058,996,853.23/142,233.40
  6. Step 6: Final answer
    x = 63,691.07

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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.