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Finding the Fourth Proportional to 207,882.40, 311,823.60 and 74,783.20

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Solution

The fourth proportional to 207,882.40, 311,823.60 and 74,783.20 is: 112,174.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,882.40 : 311,823.60 = 74,783.20 : x
  2. Step 2: Convert to fraction form
    207,882.40/311,823.60 = 74,783.20/x
  3. Step 3: Cross multiply
    207,882.40x = 311,823.60 × 74,783.20
  4. Step 4: Simplify right side
    207,882.40x = 23,319,166,643.52
  5. Step 5: Solve for x
    x = 23,319,166,643.52/207,882.40
  6. Step 6: Final answer
    x = 112,174.80

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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.