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Finding the Fourth Proportional to 151,102.06, 208,510.25 and 83,121.90

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Solution

The fourth proportional to 151,102.06, 208,510.25 and 83,121.90 is: 114,702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,102.06 : 208,510.25 = 83,121.90 : x
  2. Step 2: Convert to fraction form
    151,102.06/208,510.25 = 83,121.90/x
  3. Step 3: Cross multiply
    151,102.06x = 208,510.25 × 83,121.90
  4. Step 4: Simplify right side
    151,102.06x = 17,331,767,419.51
  5. Step 5: Solve for x
    x = 17,331,767,419.51/151,102.06
  6. Step 6: Final answer
    x = 114,702.39

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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.