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Finding the Fourth Proportional to 185,969.60, 278,954.40 and 114,948.80

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Solution

The fourth proportional to 185,969.60, 278,954.40 and 114,948.80 is: 172,423.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,969.60 : 278,954.40 = 114,948.80 : x
  2. Step 2: Convert to fraction form
    185,969.60/278,954.40 = 114,948.80/x
  3. Step 3: Cross multiply
    185,969.60x = 278,954.40 × 114,948.80
  4. Step 4: Simplify right side
    185,969.60x = 32,065,473,534.72
  5. Step 5: Solve for x
    x = 32,065,473,534.72/185,969.60
  6. Step 6: Final answer
    x = 172,423.20

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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.