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Finding the Fourth Proportional to 128,706.17, 177,614.57 and 78,405.17

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Solution

The fourth proportional to 128,706.17, 177,614.57 and 78,405.17 is: 108,199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,706.17 : 177,614.57 = 78,405.17 : x
  2. Step 2: Convert to fraction form
    128,706.17/177,614.57 = 78,405.17/x
  3. Step 3: Cross multiply
    128,706.17x = 177,614.57 × 78,405.17
  4. Step 4: Simplify right side
    128,706.17x = 13,925,900,163.30
  5. Step 5: Solve for x
    x = 13,925,900,163.30/128,706.17
  6. Step 6: Final answer
    x = 108,199.17

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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.