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Finding the Fourth Proportional to 151,142.49, 208,590.26 and 83,172.69

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Solution

The fourth proportional to 151,142.49, 208,590.26 and 83,172.69 is: 114,785.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,142.49 : 208,590.26 = 83,172.69 : x
  2. Step 2: Convert to fraction form
    151,142.49/208,590.26 = 83,172.69/x
  3. Step 3: Cross multiply
    151,142.49x = 208,590.26 × 83,172.69
  4. Step 4: Simplify right side
    151,142.49x = 17,349,012,616.14
  5. Step 5: Solve for x
    x = 17,349,012,616.14/151,142.49
  6. Step 6: Final answer
    x = 114,785.81

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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.