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Finding the Fourth Proportional to 185,777.12, 256,373.16 and 100,895.60

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Solution

The fourth proportional to 185,777.12, 256,373.16 and 100,895.60 is: 139,236.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,777.12 : 256,373.16 = 100,895.60 : x
  2. Step 2: Convert to fraction form
    185,777.12/256,373.16 = 100,895.60/x
  3. Step 3: Cross multiply
    185,777.12x = 256,373.16 × 100,895.60
  4. Step 4: Simplify right side
    185,777.12x = 25,866,923,802.10
  5. Step 5: Solve for x
    x = 25,866,923,802.10/185,777.12
  6. Step 6: Final answer
    x = 139,236.33

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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.