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Finding the Fourth Proportional to 206,977.76, 310,368.36 and 94,624.64

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Solution

The fourth proportional to 206,977.76, 310,368.36 and 94,624.64 is: 141,892.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,977.76 : 310,368.36 = 94,624.64 : x
  2. Step 2: Convert to fraction form
    206,977.76/310,368.36 = 94,624.64/x
  3. Step 3: Cross multiply
    206,977.76x = 310,368.36 × 94,624.64
  4. Step 4: Simplify right side
    206,977.76x = 29,368,494,332.39
  5. Step 5: Solve for x
    x = 29,368,494,332.39/206,977.76
  6. Step 6: Final answer
    x = 141,892.03

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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.