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Finding the Fourth Proportional to 151,321.32, 208,815.30 and 84,249

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Solution

The fourth proportional to 151,321.32, 208,815.30 and 84,249 is: 116,259.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,321.32 : 208,815.30 = 84,249 : x
  2. Step 2: Convert to fraction form
    151,321.32/208,815.30 = 84,249/x
  3. Step 3: Cross multiply
    151,321.32x = 208,815.30 × 84,249
  4. Step 4: Simplify right side
    151,321.32x = 17,592,480,209.70
  5. Step 5: Solve for x
    x = 17,592,480,209.70/151,321.32
  6. Step 6: Final answer
    x = 116,259.10

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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.