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Finding the Fourth Proportional to 154,022.40, 231,220.80 and 97,862.40

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Solution

The fourth proportional to 154,022.40, 231,220.80 and 97,862.40 is: 146,912.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,022.40 : 231,220.80 = 97,862.40 : x
  2. Step 2: Convert to fraction form
    154,022.40/231,220.80 = 97,862.40/x
  3. Step 3: Cross multiply
    154,022.40x = 231,220.80 × 97,862.40
  4. Step 4: Simplify right side
    154,022.40x = 22,627,822,417.92
  5. Step 5: Solve for x
    x = 22,627,822,417.92/154,022.40
  6. Step 6: Final answer
    x = 146,912.54

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1.5x scale

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.