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Finding the Fourth Proportional to 217,076.40, 325,711.80 and 98,686.80

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Solution

The fourth proportional to 217,076.40, 325,711.80 and 98,686.80 is: 148,074.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,076.40 : 325,711.80 = 98,686.80 : x
  2. Step 2: Convert to fraction form
    217,076.40/325,711.80 = 98,686.80/x
  3. Step 3: Cross multiply
    217,076.40x = 325,711.80 × 98,686.80
  4. Step 4: Simplify right side
    217,076.40x = 32,143,455,264.24
  5. Step 5: Solve for x
    x = 32,143,455,264.24/217,076.40
  6. Step 6: Final answer
    x = 148,074.39

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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.