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Finding the Fourth Proportional to 105,013.77, 144,913.77 and 59,685.77

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Solution

The fourth proportional to 105,013.77, 144,913.77 and 59,685.77 is: 82,363.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,013.77 : 144,913.77 = 59,685.77 : x
  2. Step 2: Convert to fraction form
    105,013.77/144,913.77 = 59,685.77/x
  3. Step 3: Cross multiply
    105,013.77x = 144,913.77 × 59,685.77
  4. Step 4: Simplify right side
    105,013.77x = 8,649,289,221.48
  5. Step 5: Solve for x
    x = 8,649,289,221.48/105,013.77
  6. Step 6: Final answer
    x = 82,363.38

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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.