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Finding the Fourth Proportional to 98,616.20, 147,924.30 and 61,412.90

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Solution

The fourth proportional to 98,616.20, 147,924.30 and 61,412.90 is: 92,119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,616.20 : 147,924.30 = 61,412.90 : x
  2. Step 2: Convert to fraction form
    98,616.20/147,924.30 = 61,412.90/x
  3. Step 3: Cross multiply
    98,616.20x = 147,924.30 × 61,412.90
  4. Step 4: Simplify right side
    98,616.20x = 9,084,460,243.47
  5. Step 5: Solve for x
    x = 9,084,460,243.47/98,616.20
  6. Step 6: Final answer
    x = 92,119.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.