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Finding the Fourth Proportional to 151,015.50, 208,397.16 and 83,032.59

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Solution

The fourth proportional to 151,015.50, 208,397.16 and 83,032.59 is: 114,582.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,015.50 : 208,397.16 = 83,032.59 : x
  2. Step 2: Convert to fraction form
    151,015.50/208,397.16 = 83,032.59/x
  3. Step 3: Cross multiply
    151,015.50x = 208,397.16 × 83,032.59
  4. Step 4: Simplify right side
    151,015.50x = 17,303,755,943.44
  5. Step 5: Solve for x
    x = 17,303,755,943.44/151,015.50
  6. Step 6: Final answer
    x = 114,582.65

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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.