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Finding the Fourth Proportional to 115,416, 159,274.08 and 62,424

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Solution

The fourth proportional to 115,416, 159,274.08 and 62,424 is: 86,145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,416 : 159,274.08 = 62,424 : x
  2. Step 2: Convert to fraction form
    115,416/159,274.08 = 62,424/x
  3. Step 3: Cross multiply
    115,416x = 159,274.08 × 62,424
  4. Step 4: Simplify right side
    115,416x = 9,942,525,169.92
  5. Step 5: Solve for x
    x = 9,942,525,169.92/115,416
  6. Step 6: Final answer
    x = 86,145.12

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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.