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Finding the Fourth Proportional to 154,955.20, 232,432.80 and 49,784.80

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Solution

The fourth proportional to 154,955.20, 232,432.80 and 49,784.80 is: 74,677.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,955.20 : 232,432.80 = 49,784.80 : x
  2. Step 2: Convert to fraction form
    154,955.20/232,432.80 = 49,784.80/x
  3. Step 3: Cross multiply
    154,955.20x = 232,432.80 × 49,784.80
  4. Step 4: Simplify right side
    154,955.20x = 11,571,620,461.44
  5. Step 5: Solve for x
    x = 11,571,620,461.44/154,955.20
  6. Step 6: Final answer
    x = 74,677.20

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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.