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Finding the Fourth Proportional to 140,068.60, 210,070.86 and 40,228

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Solution

The fourth proportional to 140,068.60, 210,070.86 and 40,228 is: 60,332.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,068.60 : 210,070.86 = 40,228 : x
  2. Step 2: Convert to fraction form
    140,068.60/210,070.86 = 40,228/x
  3. Step 3: Cross multiply
    140,068.60x = 210,070.86 × 40,228
  4. Step 4: Simplify right side
    140,068.60x = 8,450,730,556.08
  5. Step 5: Solve for x
    x = 8,450,730,556.08/140,068.60
  6. Step 6: Final answer
    x = 60,332.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.