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Finding the Fourth Proportional to 153,309, 229,964.54 and 58,513.62

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Solution

The fourth proportional to 153,309, 229,964.54 and 58,513.62 is: 87,770.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,309 : 229,964.54 = 58,513.62 : x
  2. Step 2: Convert to fraction form
    153,309/229,964.54 = 58,513.62/x
  3. Step 3: Cross multiply
    153,309x = 229,964.54 × 58,513.62
  4. Step 4: Simplify right side
    153,309x = 13,456,057,707.03
  5. Step 5: Solve for x
    x = 13,456,057,707.03/153,309
  6. Step 6: Final answer
    x = 87,770.83

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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.