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Finding the Fourth Proportional to 232,358, 348,349.36 and 90,129.84

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Solution

The fourth proportional to 232,358, 348,349.36 and 90,129.84 is: 135,121.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,358 : 348,349.36 = 90,129.84 : x
  2. Step 2: Convert to fraction form
    232,358/348,349.36 = 90,129.84/x
  3. Step 3: Cross multiply
    232,358x = 348,349.36 × 90,129.84
  4. Step 4: Simplify right side
    232,358x = 31,396,672,080.90
  5. Step 5: Solve for x
    x = 31,396,672,080.90/232,358
  6. Step 6: Final answer
    x = 135,121.98

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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.