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Finding the Fourth Proportional to 230,378.16, 317,883.31 and 128,381.26

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Solution

The fourth proportional to 230,378.16, 317,883.31 and 128,381.26 is: 177,144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,378.16 : 317,883.31 = 128,381.26 : x
  2. Step 2: Convert to fraction form
    230,378.16/317,883.31 = 128,381.26/x
  3. Step 3: Cross multiply
    230,378.16x = 317,883.31 × 128,381.26
  4. Step 4: Simplify right side
    230,378.16x = 40,810,259,870.77
  5. Step 5: Solve for x
    x = 40,810,259,870.77/230,378.16
  6. Step 6: Final answer
    x = 177,144.66

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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.