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Finding the Fourth Proportional to 180,561.66, 269,656.80 and 145,076.87

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Solution

The fourth proportional to 180,561.66, 269,656.80 and 145,076.87 is: 216,662.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,561.66 : 269,656.80 = 145,076.87 : x
  2. Step 2: Convert to fraction form
    180,561.66/269,656.80 = 145,076.87/x
  3. Step 3: Cross multiply
    180,561.66x = 269,656.80 × 145,076.87
  4. Step 4: Simplify right side
    180,561.66x = 39,120,964,648.32
  5. Step 5: Solve for x
    x = 39,120,964,648.32/180,561.66
  6. Step 6: Final answer
    x = 216,662.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.