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Finding the Fourth Proportional to 230,381.79, 317,888.32 and 128,384.88

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Solution

The fourth proportional to 230,381.79, 317,888.32 and 128,384.88 is: 177,149.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,381.79 : 317,888.32 = 128,384.88 : x
  2. Step 2: Convert to fraction form
    230,381.79/317,888.32 = 128,384.88/x
  3. Step 3: Cross multiply
    230,381.79x = 317,888.32 × 128,384.88
  4. Step 4: Simplify right side
    230,381.79x = 40,812,053,816.60
  5. Step 5: Solve for x
    x = 40,812,053,816.60/230,381.79
  6. Step 6: Final answer
    x = 177,149.65

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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.