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Finding the Fourth Proportional to 151,509.66, 209,084.78 and 83,529.12

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Solution

The fourth proportional to 151,509.66, 209,084.78 and 83,529.12 is: 115,270.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,509.66 : 209,084.78 = 83,529.12 : x
  2. Step 2: Convert to fraction form
    151,509.66/209,084.78 = 83,529.12/x
  3. Step 3: Cross multiply
    151,509.66x = 209,084.78 × 83,529.12
  4. Step 4: Simplify right side
    151,509.66x = 17,464,667,887.62
  5. Step 5: Solve for x
    x = 17,464,667,887.62/151,509.66
  6. Step 6: Final answer
    x = 115,270.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.