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Finding the Fourth Proportional to 101,477.16, 152,170.74 and 54,083.42

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Solution

The fourth proportional to 101,477.16, 152,170.74 and 54,083.42 is: 81,101.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,477.16 : 152,170.74 = 54,083.42 : x
  2. Step 2: Convert to fraction form
    101,477.16/152,170.74 = 54,083.42/x
  3. Step 3: Cross multiply
    101,477.16x = 152,170.74 × 54,083.42
  4. Step 4: Simplify right side
    101,477.16x = 8,229,913,852.92
  5. Step 5: Solve for x
    x = 8,229,913,852.92/101,477.16
  6. Step 6: Final answer
    x = 81,101.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.