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Finding the Fourth Proportional to 359,904.06, 539,972.69 and 107,186.64

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Solution

The fourth proportional to 359,904.06, 539,972.69 and 107,186.64 is: 160,814.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,904.06 : 539,972.69 = 107,186.64 : x
  2. Step 2: Convert to fraction form
    359,904.06/539,972.69 = 107,186.64/x
  3. Step 3: Cross multiply
    359,904.06x = 539,972.69 × 107,186.64
  4. Step 4: Simplify right side
    359,904.06x = 57,877,857,796.93
  5. Step 5: Solve for x
    x = 57,877,857,796.93/359,904.06
  6. Step 6: Final answer
    x = 160,814.68

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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.