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Finding the Fourth Proportional to 233,214.38, 349,786.71 and 64,716.96

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Solution

The fourth proportional to 233,214.38, 349,786.71 and 64,716.96 is: 97,065.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,214.38 : 349,786.71 = 64,716.96 : x
  2. Step 2: Convert to fraction form
    233,214.38/349,786.71 = 64,716.96/x
  3. Step 3: Cross multiply
    233,214.38x = 349,786.71 × 64,716.96
  4. Step 4: Simplify right side
    233,214.38x = 22,637,132,519.60
  5. Step 5: Solve for x
    x = 22,637,132,519.60/233,214.38
  6. Step 6: Final answer
    x = 97,065.77

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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.