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Finding the Fourth Proportional to 151,048.26, 208,442.18 and 83,065.16

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Solution

The fourth proportional to 151,048.26, 208,442.18 and 83,065.16 is: 114,627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,048.26 : 208,442.18 = 83,065.16 : x
  2. Step 2: Convert to fraction form
    151,048.26/208,442.18 = 83,065.16/x
  3. Step 3: Cross multiply
    151,048.26x = 208,442.18 × 83,065.16
  4. Step 4: Simplify right side
    151,048.26x = 17,314,283,761.22
  5. Step 5: Solve for x
    x = 17,314,283,761.22/151,048.26
  6. Step 6: Final answer
    x = 114,627.50

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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.