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Finding the Fourth Proportional to 115,376, 159,219.36 and 62,384

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Solution

The fourth proportional to 115,376, 159,219.36 and 62,384 is: 86,090.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,376 : 159,219.36 = 62,384 : x
  2. Step 2: Convert to fraction form
    115,376/159,219.36 = 62,384/x
  3. Step 3: Cross multiply
    115,376x = 159,219.36 × 62,384
  4. Step 4: Simplify right side
    115,376x = 9,932,740,554.24
  5. Step 5: Solve for x
    x = 9,932,740,554.24/115,376
  6. Step 6: Final answer
    x = 86,090.18

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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.