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Finding the Fourth Proportional to 167,065, 230,455.38 and 99,015.13

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Solution

The fourth proportional to 167,065, 230,455.38 and 99,015.13 is: 136,584.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,065 : 230,455.38 = 99,015.13 : x
  2. Step 2: Convert to fraction form
    167,065/230,455.38 = 99,015.13/x
  3. Step 3: Cross multiply
    167,065x = 230,455.38 × 99,015.13
  4. Step 4: Simplify right side
    167,065x = 22,818,569,409.90
  5. Step 5: Solve for x
    x = 22,818,569,409.90/167,065
  6. Step 6: Final answer
    x = 136,584.98

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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.