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Finding the Fourth Proportional to 359,493.12, 539,239.86 and 122,838.12

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Solution

The fourth proportional to 359,493.12, 539,239.86 and 122,838.12 is: 184,257.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,493.12 : 539,239.86 = 122,838.12 : x
  2. Step 2: Convert to fraction form
    359,493.12/539,239.86 = 122,838.12/x
  3. Step 3: Cross multiply
    359,493.12x = 539,239.86 × 122,838.12
  4. Step 4: Simplify right side
    359,493.12x = 66,239,210,631.46
  5. Step 5: Solve for x
    x = 66,239,210,631.46/359,493.12
  6. Step 6: Final answer
    x = 184,257.24

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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.