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Finding the Fourth Proportional to 356,837.86, 535,257.72 and 120,346.66

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Solution

The fourth proportional to 356,837.86, 535,257.72 and 120,346.66 is: 180,520.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,837.86 : 535,257.72 = 120,346.66 : x
  2. Step 2: Convert to fraction form
    356,837.86/535,257.72 = 120,346.66/x
  3. Step 3: Cross multiply
    356,837.86x = 535,257.72 × 120,346.66
  4. Step 4: Simplify right side
    356,837.86x = 64,416,478,841.22
  5. Step 5: Solve for x
    x = 64,416,478,841.22/356,837.86
  6. Step 6: Final answer
    x = 180,520.30

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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.