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Finding the Fourth Proportional to 154,384.88, 213,051.13 and 83,728.88

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Solution

The fourth proportional to 154,384.88, 213,051.13 and 83,728.88 is: 115,545.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,384.88 : 213,051.13 = 83,728.88 : x
  2. Step 2: Convert to fraction form
    154,384.88/213,051.13 = 83,728.88/x
  3. Step 3: Cross multiply
    154,384.88x = 213,051.13 × 83,728.88
  4. Step 4: Simplify right side
    154,384.88x = 17,838,532,497.63
  5. Step 5: Solve for x
    x = 17,838,532,497.63/154,384.88
  6. Step 6: Final answer
    x = 115,545.85

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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.