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Finding the Fourth Proportional to 204,041.80, 306,062.70 and 70,877.80

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Solution

The fourth proportional to 204,041.80, 306,062.70 and 70,877.80 is: 106,316.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,041.80 : 306,062.70 = 70,877.80 : x
  2. Step 2: Convert to fraction form
    204,041.80/306,062.70 = 70,877.80/x
  3. Step 3: Cross multiply
    204,041.80x = 306,062.70 × 70,877.80
  4. Step 4: Simplify right side
    204,041.80x = 21,693,050,838.06
  5. Step 5: Solve for x
    x = 21,693,050,838.06/204,041.80
  6. Step 6: Final answer
    x = 106,316.70

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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.