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Finding the Fourth Proportional to 231,615.30, 348,006.15 and 147,415.80

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Solution

The fourth proportional to 231,615.30, 348,006.15 and 147,415.80 is: 221,494.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,615.30 : 348,006.15 = 147,415.80 : x
  2. Step 2: Convert to fraction form
    231,615.30/348,006.15 = 147,415.80/x
  3. Step 3: Cross multiply
    231,615.30x = 348,006.15 × 147,415.80
  4. Step 4: Simplify right side
    231,615.30x = 51,301,605,007.17
  5. Step 5: Solve for x
    x = 51,301,605,007.17/231,615.30
  6. Step 6: Final answer
    x = 221,494.89

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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.