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Finding the Fourth Proportional to 202,734.59, 279,794.12 and 112,097.41

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Solution

The fourth proportional to 202,734.59, 279,794.12 and 112,097.41 is: 154,705.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,734.59 : 279,794.12 = 112,097.41 : x
  2. Step 2: Convert to fraction form
    202,734.59/279,794.12 = 112,097.41/x
  3. Step 3: Cross multiply
    202,734.59x = 279,794.12 × 112,097.41
  4. Step 4: Simplify right side
    202,734.59x = 31,364,194,925.26
  5. Step 5: Solve for x
    x = 31,364,194,925.26/202,734.59
  6. Step 6: Final answer
    x = 154,705.70

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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.