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Finding the Fourth Proportional to 151,442.00, 208,991.38 and 83,461.46

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Solution

The fourth proportional to 151,442.00, 208,991.38 and 83,461.46 is: 115,177.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,442.00 : 208,991.38 = 83,461.46 : x
  2. Step 2: Convert to fraction form
    151,442.00/208,991.38 = 83,461.46/x
  3. Step 3: Cross multiply
    151,442.00x = 208,991.38 × 83,461.46
  4. Step 4: Simplify right side
    151,442.00x = 17,442,725,232.32
  5. Step 5: Solve for x
    x = 17,442,725,232.32/151,442.00
  6. Step 6: Final answer
    x = 115,177.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.