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Finding the Fourth Proportional to 145,647.27, 218,248.35 and 98,086.50

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Solution

The fourth proportional to 145,647.27, 218,248.35 and 98,086.50 is: 146,979.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,647.27 : 218,248.35 = 98,086.50 : x
  2. Step 2: Convert to fraction form
    145,647.27/218,248.35 = 98,086.50/x
  3. Step 3: Cross multiply
    145,647.27x = 218,248.35 × 98,086.50
  4. Step 4: Simplify right side
    145,647.27x = 21,407,216,782.28
  5. Step 5: Solve for x
    x = 21,407,216,782.28/145,647.27
  6. Step 6: Final answer
    x = 146,979.87

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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.