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Finding the Fourth Proportional to 100,712.88, 151,047.72 and 41,533.20

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Solution

The fourth proportional to 100,712.88, 151,047.72 and 41,533.20 is: 62,290.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,712.88 : 151,047.72 = 41,533.20 : x
  2. Step 2: Convert to fraction form
    100,712.88/151,047.72 = 41,533.20/x
  3. Step 3: Cross multiply
    100,712.88x = 151,047.72 × 41,533.20
  4. Step 4: Simplify right side
    100,712.88x = 6,273,495,164.30
  5. Step 5: Solve for x
    x = 6,273,495,164.30/100,712.88
  6. Step 6: Final answer
    x = 62,290.89

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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.