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Finding the Fourth Proportional to 255,759, 383,693.88 and 97,987.46

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Solution

The fourth proportional to 255,759, 383,693.88 and 97,987.46 is: 147,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,759 : 383,693.88 = 97,987.46 : x
  2. Step 2: Convert to fraction form
    255,759/383,693.88 = 97,987.46/x
  3. Step 3: Cross multiply
    255,759x = 383,693.88 × 97,987.46
  4. Step 4: Simplify right side
    255,759x = 37,597,188,718.74
  5. Step 5: Solve for x
    x = 37,597,188,718.74/255,759
  6. Step 6: Final answer
    x = 147,002.41

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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.