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Finding the Fourth Proportional to 151,023.51, 208,407.10 and 83,040

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Solution

The fourth proportional to 151,023.51, 208,407.10 and 83,040 is: 114,592.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,023.51 : 208,407.10 = 83,040 : x
  2. Step 2: Convert to fraction form
    151,023.51/208,407.10 = 83,040/x
  3. Step 3: Cross multiply
    151,023.51x = 208,407.10 × 83,040
  4. Step 4: Simplify right side
    151,023.51x = 17,306,125,168.80
  5. Step 5: Solve for x
    x = 17,306,125,168.80/151,023.51
  6. Step 6: Final answer
    x = 114,592.26

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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.