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Finding the Fourth Proportional to 207,870.84, 311,666.15 and 167,938.95

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Solution

The fourth proportional to 207,870.84, 311,666.15 and 167,938.95 is: 251,795.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,870.84 : 311,666.15 = 167,938.95 : x
  2. Step 2: Convert to fraction form
    207,870.84/311,666.15 = 167,938.95/x
  3. Step 3: Cross multiply
    207,870.84x = 311,666.15 × 167,938.95
  4. Step 4: Simplify right side
    207,870.84x = 52,340,885,141.85
  5. Step 5: Solve for x
    x = 52,340,885,141.85/207,870.84
  6. Step 6: Final answer
    x = 251,795.23

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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.