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Finding the Fourth Proportional to 186,005.64, 278,966.43 and 52,882.98

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Solution

The fourth proportional to 186,005.64, 278,966.43 and 52,882.98 is: 79,312.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,005.64 : 278,966.43 = 52,882.98 : x
  2. Step 2: Convert to fraction form
    186,005.64/278,966.43 = 52,882.98/x
  3. Step 3: Cross multiply
    186,005.64x = 278,966.43 × 52,882.98
  4. Step 4: Simplify right side
    186,005.64x = 14,752,576,138.36
  5. Step 5: Solve for x
    x = 14,752,576,138.36/186,005.64
  6. Step 6: Final answer
    x = 79,312.52

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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.