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Finding the Fourth Proportional to 105,006.88, 144,913.14 and 59,686.77

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Solution

The fourth proportional to 105,006.88, 144,913.14 and 59,686.77 is: 82,369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,006.88 : 144,913.14 = 59,686.77 : x
  2. Step 2: Convert to fraction form
    105,006.88/144,913.14 = 59,686.77/x
  3. Step 3: Cross multiply
    105,006.88x = 144,913.14 × 59,686.77
  4. Step 4: Simplify right side
    105,006.88x = 8,649,396,958.72
  5. Step 5: Solve for x
    x = 8,649,396,958.72/105,006.88
  6. Step 6: Final answer
    x = 82,369.82

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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.