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Finding the Fourth Proportional to 207,735.84, 286,657.38 and 121,706.55

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Solution

The fourth proportional to 207,735.84, 286,657.38 and 121,706.55 is: 167,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,735.84 : 286,657.38 = 121,706.55 : x
  2. Step 2: Convert to fraction form
    207,735.84/286,657.38 = 121,706.55/x
  3. Step 3: Cross multiply
    207,735.84x = 286,657.38 × 121,706.55
  4. Step 4: Simplify right side
    207,735.84x = 34,888,080,751.84
  5. Step 5: Solve for x
    x = 34,888,080,751.84/207,735.84
  6. Step 6: Final answer
    x = 167,944.45

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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.