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Finding the Fourth Proportional to 233,803.60, 350,737.80 and 84,007.60

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Solution

The fourth proportional to 233,803.60, 350,737.80 and 84,007.60 is: 126,023.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,803.60 : 350,737.80 = 84,007.60 : x
  2. Step 2: Convert to fraction form
    233,803.60/350,737.80 = 84,007.60/x
  3. Step 3: Cross multiply
    233,803.60x = 350,737.80 × 84,007.60
  4. Step 4: Simplify right side
    233,803.60x = 29,464,640,807.28
  5. Step 5: Solve for x
    x = 29,464,640,807.28/233,803.60
  6. Step 6: Final answer
    x = 126,023.04

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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.