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Finding the Fourth Proportional to 272,835.20, 409,252.80 and 188,854.40

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Solution

The fourth proportional to 272,835.20, 409,252.80 and 188,854.40 is: 283,281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,835.20 : 409,252.80 = 188,854.40 : x
  2. Step 2: Convert to fraction form
    272,835.20/409,252.80 = 188,854.40/x
  3. Step 3: Cross multiply
    272,835.20x = 409,252.80 × 188,854.40
  4. Step 4: Simplify right side
    272,835.20x = 77,289,191,992.32
  5. Step 5: Solve for x
    x = 77,289,191,992.32/272,835.20
  6. Step 6: Final answer
    x = 283,281.60

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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.