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Finding the Fourth Proportional to 158,216.67, 218,329.76 and 86,598.03

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Solution

The fourth proportional to 158,216.67, 218,329.76 and 86,598.03 is: 119,500.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,216.67 : 218,329.76 = 86,598.03 : x
  2. Step 2: Convert to fraction form
    158,216.67/218,329.76 = 86,598.03/x
  3. Step 3: Cross multiply
    158,216.67x = 218,329.76 × 86,598.03
  4. Step 4: Simplify right side
    158,216.67x = 18,906,926,673.38
  5. Step 5: Solve for x
    x = 18,906,926,673.38/158,216.67
  6. Step 6: Final answer
    x = 119,500.22

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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.