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Finding the Fourth Proportional to 208,549.43, 312,076.80 and 180,566.15

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Solution

The fourth proportional to 208,549.43, 312,076.80 and 180,566.15 is: 270,202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,549.43 : 312,076.80 = 180,566.15 : x
  2. Step 2: Convert to fraction form
    208,549.43/312,076.80 = 180,566.15/x
  3. Step 3: Cross multiply
    208,549.43x = 312,076.80 × 180,566.15
  4. Step 4: Simplify right side
    208,549.43x = 56,350,506,280.32
  5. Step 5: Solve for x
    x = 56,350,506,280.32/208,549.43
  6. Step 6: Final answer
    x = 270,202.16

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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.