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Finding the Fourth Proportional to 240,610.32, 360,913.86 and 188,064

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Solution

The fourth proportional to 240,610.32, 360,913.86 and 188,064 is: 282,094.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,610.32 : 360,913.86 = 188,064 : x
  2. Step 2: Convert to fraction form
    240,610.32/360,913.86 = 188,064/x
  3. Step 3: Cross multiply
    240,610.32x = 360,913.86 × 188,064
  4. Step 4: Simplify right side
    240,610.32x = 67,874,904,167.04
  5. Step 5: Solve for x
    x = 67,874,904,167.04/240,610.32
  6. Step 6: Final answer
    x = 282,094.73

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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.