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Finding the Fourth Proportional to 206,715.60, 310,073.40 and 198,842.40

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Solution

The fourth proportional to 206,715.60, 310,073.40 and 198,842.40 is: 298,263.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,715.60 : 310,073.40 = 198,842.40 : x
  2. Step 2: Convert to fraction form
    206,715.60/310,073.40 = 198,842.40/x
  3. Step 3: Cross multiply
    206,715.60x = 310,073.40 × 198,842.40
  4. Step 4: Simplify right side
    206,715.60x = 61,655,739,032.16
  5. Step 5: Solve for x
    x = 61,655,739,032.16/206,715.60
  6. Step 6: Final answer
    x = 298,263.60

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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.