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Finding the Fourth Proportional to 232,892.80, 349,339.20 and 64,412.80

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Solution

The fourth proportional to 232,892.80, 349,339.20 and 64,412.80 is: 96,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,892.80 : 349,339.20 = 64,412.80 : x
  2. Step 2: Convert to fraction form
    232,892.80/349,339.20 = 64,412.80/x
  3. Step 3: Cross multiply
    232,892.80x = 349,339.20 × 64,412.80
  4. Step 4: Simplify right side
    232,892.80x = 22,501,916,021.76
  5. Step 5: Solve for x
    x = 22,501,916,021.76/232,892.80
  6. Step 6: Final answer
    x = 96,619.20

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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.