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Finding the Fourth Proportional to 255,798.41, 383,632.15 and 75,841.75

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Solution

The fourth proportional to 255,798.41, 383,632.15 and 75,841.75 is: 113,743.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,798.41 : 383,632.15 = 75,841.75 : x
  2. Step 2: Convert to fraction form
    255,798.41/383,632.15 = 75,841.75/x
  3. Step 3: Cross multiply
    255,798.41x = 383,632.15 × 75,841.75
  4. Step 4: Simplify right side
    255,798.41x = 29,095,334,044.40
  5. Step 5: Solve for x
    x = 29,095,334,044.40/255,798.41
  6. Step 6: Final answer
    x = 113,743.22

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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.