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Finding the Fourth Proportional to 152,969.38, 211,038.78 and 112,778.68

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Solution

The fourth proportional to 152,969.38, 211,038.78 and 112,778.68 is: 155,591.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,969.38 : 211,038.78 = 112,778.68 : x
  2. Step 2: Convert to fraction form
    152,969.38/211,038.78 = 112,778.68/x
  3. Step 3: Cross multiply
    152,969.38x = 211,038.78 × 112,778.68
  4. Step 4: Simplify right side
    152,969.38x = 23,800,675,037.21
  5. Step 5: Solve for x
    x = 23,800,675,037.21/152,969.38
  6. Step 6: Final answer
    x = 155,591.11

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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.