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Finding the Fourth Proportional to 185,261.47, 255,661.00 and 100,378.53

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Solution

The fourth proportional to 185,261.47, 255,661.00 and 100,378.53 is: 138,522.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,261.47 : 255,661.00 = 100,378.53 : x
  2. Step 2: Convert to fraction form
    185,261.47/255,661.00 = 100,378.53/x
  3. Step 3: Cross multiply
    185,261.47x = 255,661.00 × 100,378.53
  4. Step 4: Simplify right side
    185,261.47x = 25,662,875,107.38
  5. Step 5: Solve for x
    x = 25,662,875,107.38/185,261.47
  6. Step 6: Final answer
    x = 138,522.46

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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.