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Finding the Fourth Proportional to 180,776.93, 249,474.67 and 99,112.85

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Solution

The fourth proportional to 180,776.93, 249,474.67 and 99,112.85 is: 136,777.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,776.93 : 249,474.67 = 99,112.85 : x
  2. Step 2: Convert to fraction form
    180,776.93/249,474.67 = 99,112.85/x
  3. Step 3: Cross multiply
    180,776.93x = 249,474.67 × 99,112.85
  4. Step 4: Simplify right side
    180,776.93x = 24,726,145,922.41
  5. Step 5: Solve for x
    x = 24,726,145,922.41/180,776.93
  6. Step 6: Final answer
    x = 136,777.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.