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Finding the Fourth Proportional to 230,877.80, 346,316.70 and 81,141.20

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Solution

The fourth proportional to 230,877.80, 346,316.70 and 81,141.20 is: 121,711.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,877.80 : 346,316.70 = 81,141.20 : x
  2. Step 2: Convert to fraction form
    230,877.80/346,316.70 = 81,141.20/x
  3. Step 3: Cross multiply
    230,877.80x = 346,316.70 × 81,141.20
  4. Step 4: Simplify right side
    230,877.80x = 28,100,552,618.04
  5. Step 5: Solve for x
    x = 28,100,552,618.04/230,877.80
  6. Step 6: Final answer
    x = 121,711.80

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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.