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Finding the Fourth Proportional to 105,492.30, 158,226.30 and 26,607.24

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Solution

The fourth proportional to 105,492.30, 158,226.30 and 26,607.24 is: 39,907.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,492.30 : 158,226.30 = 26,607.24 : x
  2. Step 2: Convert to fraction form
    105,492.30/158,226.30 = 26,607.24/x
  3. Step 3: Cross multiply
    105,492.30x = 158,226.30 × 26,607.24
  4. Step 4: Simplify right side
    105,492.30x = 4,209,965,138.41
  5. Step 5: Solve for x
    x = 4,209,965,138.41/105,492.30
  6. Step 6: Final answer
    x = 39,907.80

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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.