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Finding the Fourth Proportional to 105,491.66, 158,219.82 and 46,311.44

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Solution

The fourth proportional to 105,491.66, 158,219.82 and 46,311.44 is: 69,459.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,491.66 : 158,219.82 = 46,311.44 : x
  2. Step 2: Convert to fraction form
    105,491.66/158,219.82 = 46,311.44/x
  3. Step 3: Cross multiply
    105,491.66x = 158,219.82 × 46,311.44
  4. Step 4: Simplify right side
    105,491.66x = 7,327,387,700.74
  5. Step 5: Solve for x
    x = 7,327,387,700.74/105,491.66
  6. Step 6: Final answer
    x = 69,459.40

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1.5x scale

Why These Related Problems?

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