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Finding the Fourth Proportional to 151,134, 208,569.81 and 83,147.46

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Solution

The fourth proportional to 151,134, 208,569.81 and 83,147.46 is: 114,746.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,134 : 208,569.81 = 83,147.46 : x
  2. Step 2: Convert to fraction form
    151,134/208,569.81 = 83,147.46/x
  3. Step 3: Cross multiply
    151,134x = 208,569.81 × 83,147.46
  4. Step 4: Simplify right side
    151,134x = 17,342,049,934.18
  5. Step 5: Solve for x
    x = 17,342,049,934.18/151,134
  6. Step 6: Final answer
    x = 114,746.19

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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.