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Finding the Fourth Proportional to 109,827, 151,561.80 and 59,526

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Solution

The fourth proportional to 109,827, 151,561.80 and 59,526 is: 82,146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,827 : 151,561.80 = 59,526 : x
  2. Step 2: Convert to fraction form
    109,827/151,561.80 = 59,526/x
  3. Step 3: Cross multiply
    109,827x = 151,561.80 × 59,526
  4. Step 4: Simplify right side
    109,827x = 9,021,867,706.80
  5. Step 5: Solve for x
    x = 9,021,867,706.80/109,827
  6. Step 6: Final answer
    x = 82,146.17

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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.