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Finding the Fourth Proportional to 186,006.29, 279,123.65 and 147,829.73

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Solution

The fourth proportional to 186,006.29, 279,123.65 and 147,829.73 is: 221,835.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,006.29 : 279,123.65 = 147,829.73 : x
  2. Step 2: Convert to fraction form
    186,006.29/279,123.65 = 147,829.73/x
  3. Step 3: Cross multiply
    186,006.29x = 279,123.65 × 147,829.73
  4. Step 4: Simplify right side
    186,006.29x = 41,262,773,816.11
  5. Step 5: Solve for x
    x = 41,262,773,816.11/186,006.29
  6. Step 6: Final answer
    x = 221,835.37

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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.