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Finding the Fourth Proportional to 186,354.78, 279,503.52 and 102,156.66

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Solution

The fourth proportional to 186,354.78, 279,503.52 and 102,156.66 is: 153,219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,354.78 : 279,503.52 = 102,156.66 : x
  2. Step 2: Convert to fraction form
    186,354.78/279,503.52 = 102,156.66/x
  3. Step 3: Cross multiply
    186,354.78x = 279,503.52 × 102,156.66
  4. Step 4: Simplify right side
    186,354.78x = 28,553,146,061.44
  5. Step 5: Solve for x
    x = 28,553,146,061.44/186,354.78
  6. Step 6: Final answer
    x = 153,219.28

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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.