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Finding the Fourth Proportional to 191,903.69, 287,298 and 111,696.84

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Solution

The fourth proportional to 191,903.69, 287,298 and 111,696.84 is: 167,220.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,903.69 : 287,298 = 111,696.84 : x
  2. Step 2: Convert to fraction form
    191,903.69/287,298 = 111,696.84/x
  3. Step 3: Cross multiply
    191,903.69x = 287,298 × 111,696.84
  4. Step 4: Simplify right side
    191,903.69x = 32,090,278,738.32
  5. Step 5: Solve for x
    x = 32,090,278,738.32/191,903.69
  6. Step 6: Final answer
    x = 167,220.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.