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Finding the Fourth Proportional to 201,683.40, 278,320.77 and 111,037.45

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Solution

The fourth proportional to 201,683.40, 278,320.77 and 111,037.45 is: 153,230.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,683.40 : 278,320.77 = 111,037.45 : x
  2. Step 2: Convert to fraction form
    201,683.40/278,320.77 = 111,037.45/x
  3. Step 3: Cross multiply
    201,683.40x = 278,320.77 × 111,037.45
  4. Step 4: Simplify right side
    201,683.40x = 30,904,028,582.84
  5. Step 5: Solve for x
    x = 30,904,028,582.84/201,683.40
  6. Step 6: Final answer
    x = 153,230.40

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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.