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Finding the Fourth Proportional to 151,273.82, 208,756.15 and 83,289.40

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Solution

The fourth proportional to 151,273.82, 208,756.15 and 83,289.40 is: 114,938.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,273.82 : 208,756.15 = 83,289.40 : x
  2. Step 2: Convert to fraction form
    151,273.82/208,756.15 = 83,289.40/x
  3. Step 3: Cross multiply
    151,273.82x = 208,756.15 × 83,289.40
  4. Step 4: Simplify right side
    151,273.82x = 17,387,174,479.81
  5. Step 5: Solve for x
    x = 17,387,174,479.81/151,273.82
  6. Step 6: Final answer
    x = 114,938.42

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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.