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Finding the Fourth Proportional to 109,571.10, 164,356.65 and 70,205.10

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Solution

The fourth proportional to 109,571.10, 164,356.65 and 70,205.10 is: 105,307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,571.10 : 164,356.65 = 70,205.10 : x
  2. Step 2: Convert to fraction form
    109,571.10/164,356.65 = 70,205.10/x
  3. Step 3: Cross multiply
    109,571.10x = 164,356.65 × 70,205.10
  4. Step 4: Simplify right side
    109,571.10x = 11,538,675,048.92
  5. Step 5: Solve for x
    x = 11,538,675,048.92/109,571.10
  6. Step 6: Final answer
    x = 105,307.65

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