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Finding the Fourth Proportional to 151,393.02, 208,927.35 and 83,412.78

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Solution

The fourth proportional to 151,393.02, 208,927.35 and 83,412.78 is: 115,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,393.02 : 208,927.35 = 83,412.78 : x
  2. Step 2: Convert to fraction form
    151,393.02/208,927.35 = 83,412.78/x
  3. Step 3: Cross multiply
    151,393.02x = 208,927.35 × 83,412.78
  4. Step 4: Simplify right side
    151,393.02x = 17,427,211,081.53
  5. Step 5: Solve for x
    x = 17,427,211,081.53/151,393.02
  6. Step 6: Final answer
    x = 115,112.38

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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.