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Finding the Fourth Proportional to 180,122.89, 269,962.87 and 101,071.03

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Solution

The fourth proportional to 180,122.89, 269,962.87 and 101,071.03 is: 151,482.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,122.89 : 269,962.87 = 101,071.03 : x
  2. Step 2: Convert to fraction form
    180,122.89/269,962.87 = 101,071.03/x
  3. Step 3: Cross multiply
    180,122.89x = 269,962.87 × 101,071.03
  4. Step 4: Simplify right side
    180,122.89x = 27,285,425,332.66
  5. Step 5: Solve for x
    x = 27,285,425,332.66/180,122.89
  6. Step 6: Final answer
    x = 151,482.28

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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.