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Finding the Fourth Proportional to 207,710.16, 311,565.24 and 49,938.61

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Solution

The fourth proportional to 207,710.16, 311,565.24 and 49,938.61 is: 74,907.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,710.16 : 311,565.24 = 49,938.61 : x
  2. Step 2: Convert to fraction form
    207,710.16/311,565.24 = 49,938.61/x
  3. Step 3: Cross multiply
    207,710.16x = 311,565.24 × 49,938.61
  4. Step 4: Simplify right side
    207,710.16x = 15,559,134,885.07
  5. Step 5: Solve for x
    x = 15,559,134,885.07/207,710.16
  6. Step 6: Final answer
    x = 74,907.92

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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.