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Finding the Fourth Proportional to 153,994.80, 230,970.60 and 48,824.40

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Solution

The fourth proportional to 153,994.80, 230,970.60 and 48,824.40 is: 73,229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,994.80 : 230,970.60 = 48,824.40 : x
  2. Step 2: Convert to fraction form
    153,994.80/230,970.60 = 48,824.40/x
  3. Step 3: Cross multiply
    153,994.80x = 230,970.60 × 48,824.40
  4. Step 4: Simplify right side
    153,994.80x = 11,277,000,962.64
  5. Step 5: Solve for x
    x = 11,277,000,962.64/153,994.80
  6. Step 6: Final answer
    x = 73,229.75

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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.