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Finding the Fourth Proportional to 105,005.80, 144,902.76 and 59,677.80

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Solution

The fourth proportional to 105,005.80, 144,902.76 and 59,677.80 is: 82,352.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,005.80 : 144,902.76 = 59,677.80 : x
  2. Step 2: Convert to fraction form
    105,005.80/144,902.76 = 59,677.80/x
  3. Step 3: Cross multiply
    105,005.80x = 144,902.76 × 59,677.80
  4. Step 4: Simplify right side
    105,005.80x = 8,647,477,163.55
  5. Step 5: Solve for x
    x = 8,647,477,163.55/105,005.80
  6. Step 6: Final answer
    x = 82,352.38

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1.5x scale

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.