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Finding the Fourth Proportional to 233,186.38, 349,740.43 and 64,723.82

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Solution

The fourth proportional to 233,186.38, 349,740.43 and 64,723.82 is: 97,074.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,186.38 : 349,740.43 = 64,723.82 : x
  2. Step 2: Convert to fraction form
    233,186.38/349,740.43 = 64,723.82/x
  3. Step 3: Cross multiply
    233,186.38x = 349,740.43 × 64,723.82
  4. Step 4: Simplify right side
    233,186.38x = 22,636,534,727.53
  5. Step 5: Solve for x
    x = 22,636,534,727.53/233,186.38
  6. Step 6: Final answer
    x = 97,074.86

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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.