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Finding the Fourth Proportional to 164,552, 227,083.38 and 89,102.12

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Solution

The fourth proportional to 164,552, 227,083.38 and 89,102.12 is: 122,961.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,552 : 227,083.38 = 89,102.12 : x
  2. Step 2: Convert to fraction form
    164,552/227,083.38 = 89,102.12/x
  3. Step 3: Cross multiply
    164,552x = 227,083.38 × 89,102.12
  4. Step 4: Simplify right side
    164,552x = 20,233,610,574.77
  5. Step 5: Solve for x
    x = 20,233,610,574.77/164,552
  6. Step 6: Final answer
    x = 122,961.80

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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.