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Finding the Fourth Proportional to 109,434, 151,018.92 and 59,133

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Solution

The fourth proportional to 109,434, 151,018.92 and 59,133 is: 81,603.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,434 : 151,018.92 = 59,133 : x
  2. Step 2: Convert to fraction form
    109,434/151,018.92 = 59,133/x
  3. Step 3: Cross multiply
    109,434x = 151,018.92 × 59,133
  4. Step 4: Simplify right side
    109,434x = 8,930,201,796.36
  5. Step 5: Solve for x
    x = 8,930,201,796.36/109,434
  6. Step 6: Final answer
    x = 81,603.54

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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.