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Finding the Fourth Proportional to 201,899.68, 278,602.52 and 119,100.76

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Solution

The fourth proportional to 201,899.68, 278,602.52 and 119,100.76 is: 164,347.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,899.68 : 278,602.52 = 119,100.76 : x
  2. Step 2: Convert to fraction form
    201,899.68/278,602.52 = 119,100.76/x
  3. Step 3: Cross multiply
    201,899.68x = 278,602.52 × 119,100.76
  4. Step 4: Simplify right side
    201,899.68x = 33,181,771,869.92
  5. Step 5: Solve for x
    x = 33,181,771,869.92/201,899.68
  6. Step 6: Final answer
    x = 164,347.82

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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.