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Finding the Fourth Proportional to 232,113.12, 320,312.88 and 128,744.16

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Solution

The fourth proportional to 232,113.12, 320,312.88 and 128,744.16 is: 177,665.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,113.12 : 320,312.88 = 128,744.16 : x
  2. Step 2: Convert to fraction form
    232,113.12/320,312.88 = 128,744.16/x
  3. Step 3: Cross multiply
    232,113.12x = 320,312.88 × 128,744.16
  4. Step 4: Simplify right side
    232,113.12x = 41,238,412,672.78
  5. Step 5: Solve for x
    x = 41,238,412,672.78/232,113.12
  6. Step 6: Final answer
    x = 177,665.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.