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Finding the Fourth Proportional to 147,668.60, 221,567.70 and 68,742.20

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Solution

The fourth proportional to 147,668.60, 221,567.70 and 68,742.20 is: 103,143.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,668.60 : 221,567.70 = 68,742.20 : x
  2. Step 2: Convert to fraction form
    147,668.60/221,567.70 = 68,742.20/x
  3. Step 3: Cross multiply
    147,668.60x = 221,567.70 × 68,742.20
  4. Step 4: Simplify right side
    147,668.60x = 15,231,051,146.94
  5. Step 5: Solve for x
    x = 15,231,051,146.94/147,668.60
  6. Step 6: Final answer
    x = 103,143.47

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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.