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Finding the Fourth Proportional to 185,761, 256,347.91 and 100,878.67

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Solution

The fourth proportional to 185,761, 256,347.91 and 100,878.67 is: 139,211.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,761 : 256,347.91 = 100,878.67 : x
  2. Step 2: Convert to fraction form
    185,761/256,347.91 = 100,878.67/x
  3. Step 3: Cross multiply
    185,761x = 256,347.91 × 100,878.67
  4. Step 4: Simplify right side
    185,761x = 25,860,036,218.08
  5. Step 5: Solve for x
    x = 25,860,036,218.08/185,761
  6. Step 6: Final answer
    x = 139,211.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.