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Finding the Fourth Proportional to 109,713, 151,403.94 and 59,412

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Solution

The fourth proportional to 109,713, 151,403.94 and 59,412 is: 81,988.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,713 : 151,403.94 = 59,412 : x
  2. Step 2: Convert to fraction form
    109,713/151,403.94 = 59,412/x
  3. Step 3: Cross multiply
    109,713x = 151,403.94 × 59,412
  4. Step 4: Simplify right side
    109,713x = 8,995,210,883.28
  5. Step 5: Solve for x
    x = 8,995,210,883.28/109,713
  6. Step 6: Final answer
    x = 81,988.56

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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.