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Finding the Fourth Proportional to 199,084.76, 298,669.14 and 65,957.40

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Solution

The fourth proportional to 199,084.76, 298,669.14 and 65,957.40 is: 98,950.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,084.76 : 298,669.14 = 65,957.40 : x
  2. Step 2: Convert to fraction form
    199,084.76/298,669.14 = 65,957.40/x
  3. Step 3: Cross multiply
    199,084.76x = 298,669.14 × 65,957.40
  4. Step 4: Simplify right side
    199,084.76x = 19,699,439,934.64
  5. Step 5: Solve for x
    x = 19,699,439,934.64/199,084.76
  6. Step 6: Final answer
    x = 98,950.01

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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.