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Finding the Fourth Proportional to 207,005.20, 310,580.70 and 101,753.80

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Solution

The fourth proportional to 207,005.20, 310,580.70 and 101,753.80 is: 152,666.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,005.20 : 310,580.70 = 101,753.80 : x
  2. Step 2: Convert to fraction form
    207,005.20/310,580.70 = 101,753.80/x
  3. Step 3: Cross multiply
    207,005.20x = 310,580.70 × 101,753.80
  4. Step 4: Simplify right side
    207,005.20x = 31,602,766,431.66
  5. Step 5: Solve for x
    x = 31,602,766,431.66/207,005.20
  6. Step 6: Final answer
    x = 152,666.53

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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.