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Finding the Fourth Proportional to 153,955.20, 230,965.20 and 48,784.80

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Solution

The fourth proportional to 153,955.20, 230,965.20 and 48,784.80 is: 73,187.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,955.20 : 230,965.20 = 48,784.80 : x
  2. Step 2: Convert to fraction form
    153,955.20/230,965.20 = 48,784.80/x
  3. Step 3: Cross multiply
    153,955.20x = 230,965.20 × 48,784.80
  4. Step 4: Simplify right side
    153,955.20x = 11,267,591,088.96
  5. Step 5: Solve for x
    x = 11,267,591,088.96/153,955.20
  6. Step 6: Final answer
    x = 73,187.47

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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.