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Finding the Fourth Proportional to 102,859.65, 141,889.14 and 59,834.30

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Solution

The fourth proportional to 102,859.65, 141,889.14 and 59,834.30 is: 82,538.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,859.65 : 141,889.14 = 59,834.30 : x
  2. Step 2: Convert to fraction form
    102,859.65/141,889.14 = 59,834.30/x
  3. Step 3: Cross multiply
    102,859.65x = 141,889.14 × 59,834.30
  4. Step 4: Simplify right side
    102,859.65x = 8,489,837,369.50
  5. Step 5: Solve for x
    x = 8,489,837,369.50/102,859.65
  6. Step 6: Final answer
    x = 82,538.07

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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.