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Finding the Fourth Proportional to 201,681.90, 278,318.70 and 111,035.95

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Solution

The fourth proportional to 201,681.90, 278,318.70 and 111,035.95 is: 153,228.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,681.90 : 278,318.70 = 111,035.95 : x
  2. Step 2: Convert to fraction form
    201,681.90/278,318.70 = 111,035.95/x
  3. Step 3: Cross multiply
    201,681.90x = 278,318.70 × 111,035.95
  4. Step 4: Simplify right side
    201,681.90x = 30,903,380,561.47
  5. Step 5: Solve for x
    x = 30,903,380,561.47/201,681.90
  6. Step 6: Final answer
    x = 153,228.33

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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.