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Finding the Fourth Proportional to 98,304.20, 147,456.40 and 24,432.20

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Solution

The fourth proportional to 98,304.20, 147,456.40 and 24,432.20 is: 36,648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,304.20 : 147,456.40 = 24,432.20 : x
  2. Step 2: Convert to fraction form
    98,304.20/147,456.40 = 24,432.20/x
  3. Step 3: Cross multiply
    98,304.20x = 147,456.40 × 24,432.20
  4. Step 4: Simplify right side
    98,304.20x = 3,602,684,256.08
  5. Step 5: Solve for x
    x = 3,602,684,256.08/98,304.20
  6. Step 6: Final answer
    x = 36,648.32

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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.