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Finding the Fourth Proportional to 233,041.92, 350,033.92 and 139,724.80

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Solution

The fourth proportional to 233,041.92, 350,033.92 and 139,724.80 is: 209,869.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,041.92 : 350,033.92 = 139,724.80 : x
  2. Step 2: Convert to fraction form
    233,041.92/350,033.92 = 139,724.80/x
  3. Step 3: Cross multiply
    233,041.92x = 350,033.92 × 139,724.80
  4. Step 4: Simplify right side
    233,041.92x = 48,908,419,465.22
  5. Step 5: Solve for x
    x = 48,908,419,465.22/233,041.92
  6. Step 6: Final answer
    x = 209,869.62

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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.