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Finding the Fourth Proportional to 230,117.40, 345,035.16 and 89,712

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Solution

The fourth proportional to 230,117.40, 345,035.16 and 89,712 is: 134,513.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,117.40 : 345,035.16 = 89,712 : x
  2. Step 2: Convert to fraction form
    230,117.40/345,035.16 = 89,712/x
  3. Step 3: Cross multiply
    230,117.40x = 345,035.16 × 89,712
  4. Step 4: Simplify right side
    230,117.40x = 30,953,794,273.92
  5. Step 5: Solve for x
    x = 30,953,794,273.92/230,117.40
  6. Step 6: Final answer
    x = 134,513.05

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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.