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Finding the Fourth Proportional to 137,577.20, 206,365.80 and 102,585.20

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Solution

The fourth proportional to 137,577.20, 206,365.80 and 102,585.20 is: 153,877.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,577.20 : 206,365.80 = 102,585.20 : x
  2. Step 2: Convert to fraction form
    137,577.20/206,365.80 = 102,585.20/x
  3. Step 3: Cross multiply
    137,577.20x = 206,365.80 × 102,585.20
  4. Step 4: Simplify right side
    137,577.20x = 21,170,076,866.16
  5. Step 5: Solve for x
    x = 21,170,076,866.16/137,577.20
  6. Step 6: Final answer
    x = 153,877.80

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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.