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Finding the Fourth Proportional to 103,524.69, 142,869.14 and 58,216.94

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Solution

The fourth proportional to 103,524.69, 142,869.14 and 58,216.94 is: 80,342.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,524.69 : 142,869.14 = 58,216.94 : x
  2. Step 2: Convert to fraction form
    103,524.69/142,869.14 = 58,216.94/x
  3. Step 3: Cross multiply
    103,524.69x = 142,869.14 × 58,216.94
  4. Step 4: Simplify right side
    103,524.69x = 8,317,403,145.80
  5. Step 5: Solve for x
    x = 8,317,403,145.80/103,524.69
  6. Step 6: Final answer
    x = 80,342.22

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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.