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Finding the Fourth Proportional to 145,859.20, 218,788.80 and 83,478.40

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Solution

The fourth proportional to 145,859.20, 218,788.80 and 83,478.40 is: 125,217.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,859.20 : 218,788.80 = 83,478.40 : x
  2. Step 2: Convert to fraction form
    145,859.20/218,788.80 = 83,478.40/x
  3. Step 3: Cross multiply
    145,859.20x = 218,788.80 × 83,478.40
  4. Step 4: Simplify right side
    145,859.20x = 18,264,138,961.92
  5. Step 5: Solve for x
    x = 18,264,138,961.92/145,859.20
  6. Step 6: Final answer
    x = 125,217.60

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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.