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Finding the Fourth Proportional to 253,869, 350,376.60 and 146,418.16

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Solution

The fourth proportional to 253,869, 350,376.60 and 146,418.16 is: 202,078.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,869 : 350,376.60 = 146,418.16 : x
  2. Step 2: Convert to fraction form
    253,869/350,376.60 = 146,418.16/x
  3. Step 3: Cross multiply
    253,869x = 350,376.60 × 146,418.16
  4. Step 4: Simplify right side
    253,869x = 51,301,497,079.06
  5. Step 5: Solve for x
    x = 51,301,497,079.06/253,869
  6. Step 6: Final answer
    x = 202,078.62

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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.