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Finding the Fourth Proportional to 230,733.60, 346,165.20 and 97,677.60

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Solution

The fourth proportional to 230,733.60, 346,165.20 and 97,677.60 is: 146,543.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,733.60 : 346,165.20 = 97,677.60 : x
  2. Step 2: Convert to fraction form
    230,733.60/346,165.20 = 97,677.60/x
  3. Step 3: Cross multiply
    230,733.60x = 346,165.20 × 97,677.60
  4. Step 4: Simplify right side
    230,733.60x = 33,812,585,939.52
  5. Step 5: Solve for x
    x = 33,812,585,939.52/230,733.60
  6. Step 6: Final answer
    x = 146,543.83

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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.