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Finding the Fourth Proportional to 183,825.78, 253,685.70 and 103,268.88

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Solution

The fourth proportional to 183,825.78, 253,685.70 and 103,268.88 is: 142,514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,825.78 : 253,685.70 = 103,268.88 : x
  2. Step 2: Convert to fraction form
    183,825.78/253,685.70 = 103,268.88/x
  3. Step 3: Cross multiply
    183,825.78x = 253,685.70 × 103,268.88
  4. Step 4: Simplify right side
    183,825.78x = 26,197,838,111.02
  5. Step 5: Solve for x
    x = 26,197,838,111.02/183,825.78
  6. Step 6: Final answer
    x = 142,514.49

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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.