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Finding the Fourth Proportional to 186,005.67, 279,122.72 and 147,829.10

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Solution

The fourth proportional to 186,005.67, 279,122.72 and 147,829.10 is: 221,834.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,005.67 : 279,122.72 = 147,829.10 : x
  2. Step 2: Convert to fraction form
    186,005.67/279,122.72 = 147,829.10/x
  3. Step 3: Cross multiply
    186,005.67x = 279,122.72 × 147,829.10
  4. Step 4: Simplify right side
    186,005.67x = 41,262,458,352.39
  5. Step 5: Solve for x
    x = 41,262,458,352.39/186,005.67
  6. Step 6: Final answer
    x = 221,834.42

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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.