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Finding the Fourth Proportional to 201,800.40, 278,486.47 and 111,156.76

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Solution

The fourth proportional to 201,800.40, 278,486.47 and 111,156.76 is: 153,397.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,800.40 : 278,486.47 = 111,156.76 : x
  2. Step 2: Convert to fraction form
    201,800.40/278,486.47 = 111,156.76/x
  3. Step 3: Cross multiply
    201,800.40x = 278,486.47 × 111,156.76
  4. Step 4: Simplify right side
    201,800.40x = 30,955,653,709.04
  5. Step 5: Solve for x
    x = 30,955,653,709.04/201,800.40
  6. Step 6: Final answer
    x = 153,397.39

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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.