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Finding the Fourth Proportional to 106,617.41, 159,578.91 and 78,526.40

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Solution

The fourth proportional to 106,617.41, 159,578.91 and 78,526.40 is: 117,533.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,617.41 : 159,578.91 = 78,526.40 : x
  2. Step 2: Convert to fraction form
    106,617.41/159,578.91 = 78,526.40/x
  3. Step 3: Cross multiply
    106,617.41x = 159,578.91 × 78,526.40
  4. Step 4: Simplify right side
    106,617.41x = 12,531,157,318.22
  5. Step 5: Solve for x
    x = 12,531,157,318.22/106,617.41
  6. Step 6: Final answer
    x = 117,533.87

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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.