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Finding the Fourth Proportional to 146,725.46, 202,482 and 86,298.65

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Solution

The fourth proportional to 146,725.46, 202,482 and 86,298.65 is: 119,092.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,725.46 : 202,482 = 86,298.65 : x
  2. Step 2: Convert to fraction form
    146,725.46/202,482 = 86,298.65/x
  3. Step 3: Cross multiply
    146,725.46x = 202,482 × 86,298.65
  4. Step 4: Simplify right side
    146,725.46x = 17,473,922,236.89
  5. Step 5: Solve for x
    x = 17,473,922,236.89/146,725.46
  6. Step 6: Final answer
    x = 119,092.64

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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.