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Finding the Fourth Proportional to 153,428.50, 211,731.36 and 89,778.52

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Solution

The fourth proportional to 153,428.50, 211,731.36 and 89,778.52 is: 123,894.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,428.50 : 211,731.36 = 89,778.52 : x
  2. Step 2: Convert to fraction form
    153,428.50/211,731.36 = 89,778.52/x
  3. Step 3: Cross multiply
    153,428.50x = 211,731.36 × 89,778.52
  4. Step 4: Simplify right side
    153,428.50x = 19,008,928,138.39
  5. Step 5: Solve for x
    x = 19,008,928,138.39/153,428.50
  6. Step 6: Final answer
    x = 123,894.38

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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.