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Finding the Fourth Proportional to 185,454, 255,926.52 and 100,571.13

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Solution

The fourth proportional to 185,454, 255,926.52 and 100,571.13 is: 138,788.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,454 : 255,926.52 = 100,571.13 : x
  2. Step 2: Convert to fraction form
    185,454/255,926.52 = 100,571.13/x
  3. Step 3: Cross multiply
    185,454x = 255,926.52 × 100,571.13
  4. Step 4: Simplify right side
    185,454x = 25,738,819,313.37
  5. Step 5: Solve for x
    x = 25,738,819,313.37/185,454
  6. Step 6: Final answer
    x = 138,788.16

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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.