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Finding the Fourth Proportional to 208,999.20, 313,498.80 and 177,506.40

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Solution

The fourth proportional to 208,999.20, 313,498.80 and 177,506.40 is: 266,259.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,999.20 : 313,498.80 = 177,506.40 : x
  2. Step 2: Convert to fraction form
    208,999.20/313,498.80 = 177,506.40/x
  3. Step 3: Cross multiply
    208,999.20x = 313,498.80 × 177,506.40
  4. Step 4: Simplify right side
    208,999.20x = 55,648,043,392.32
  5. Step 5: Solve for x
    x = 55,648,043,392.32/208,999.20
  6. Step 6: Final answer
    x = 266,259.60

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1.5x scale

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.