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Finding the Fourth Proportional to 193,049.60, 289,457.35 and 86,413.91

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Solution

The fourth proportional to 193,049.60, 289,457.35 and 86,413.91 is: 129,568.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,049.60 : 289,457.35 = 86,413.91 : x
  2. Step 2: Convert to fraction form
    193,049.60/289,457.35 = 86,413.91/x
  3. Step 3: Cross multiply
    193,049.60x = 289,457.35 × 86,413.91
  4. Step 4: Simplify right side
    193,049.60x = 25,013,139,728.42
  5. Step 5: Solve for x
    x = 25,013,139,728.42/193,049.60
  6. Step 6: Final answer
    x = 129,568.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.