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Finding the Fourth Proportional to 151,772, 209,430.39 and 83,784.56

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Solution

The fourth proportional to 151,772, 209,430.39 and 83,784.56 is: 115,614.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,772 : 209,430.39 = 83,784.56 : x
  2. Step 2: Convert to fraction form
    151,772/209,430.39 = 83,784.56/x
  3. Step 3: Cross multiply
    151,772x = 209,430.39 × 83,784.56
  4. Step 4: Simplify right side
    151,772x = 17,547,033,076.78
  5. Step 5: Solve for x
    x = 17,547,033,076.78/151,772
  6. Step 6: Final answer
    x = 115,614.43

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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.