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Finding the Fourth Proportional to 109,564.57, 151,199.49 and 59,263.57

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Solution

The fourth proportional to 109,564.57, 151,199.49 and 59,263.57 is: 81,783.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,564.57 : 151,199.49 = 59,263.57 : x
  2. Step 2: Convert to fraction form
    109,564.57/151,199.49 = 59,263.57/x
  3. Step 3: Cross multiply
    109,564.57x = 151,199.49 × 59,263.57
  4. Step 4: Simplify right side
    109,564.57x = 8,960,621,559.58
  5. Step 5: Solve for x
    x = 8,960,621,559.58/109,564.57
  6. Step 6: Final answer
    x = 81,783.93

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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.