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Finding the Fourth Proportional to 115,290, 159,100.20 and 62,298

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Solution

The fourth proportional to 115,290, 159,100.20 and 62,298 is: 85,971.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,290 : 159,100.20 = 62,298 : x
  2. Step 2: Convert to fraction form
    115,290/159,100.20 = 62,298/x
  3. Step 3: Cross multiply
    115,290x = 159,100.20 × 62,298
  4. Step 4: Simplify right side
    115,290x = 9,911,624,259.60
  5. Step 5: Solve for x
    x = 9,911,624,259.60/115,290
  6. Step 6: Final answer
    x = 85,971.24

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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.