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Finding the Fourth Proportional to 235,497.60, 353,246.40 and 146,851.20

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Solution

The fourth proportional to 235,497.60, 353,246.40 and 146,851.20 is: 220,276.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,497.60 : 353,246.40 = 146,851.20 : x
  2. Step 2: Convert to fraction form
    235,497.60/353,246.40 = 146,851.20/x
  3. Step 3: Cross multiply
    235,497.60x = 353,246.40 × 146,851.20
  4. Step 4: Simplify right side
    235,497.60x = 51,874,657,735.68
  5. Step 5: Solve for x
    x = 51,874,657,735.68/235,497.60
  6. Step 6: Final answer
    x = 220,276.80

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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.