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Finding the Fourth Proportional to 106,148.32, 158,286 and 105,200.80

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Solution

The fourth proportional to 106,148.32, 158,286 and 105,200.80 is: 156,873.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,148.32 : 158,286 = 105,200.80 : x
  2. Step 2: Convert to fraction form
    106,148.32/158,286 = 105,200.80/x
  3. Step 3: Cross multiply
    106,148.32x = 158,286 × 105,200.80
  4. Step 4: Simplify right side
    106,148.32x = 16,651,813,828.80
  5. Step 5: Solve for x
    x = 16,651,813,828.80/106,148.32
  6. Step 6: Final answer
    x = 156,873.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.