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Finding the Fourth Proportional to 75,899.70, 106,415.10 and 75,899.70

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Solution

The fourth proportional to 75,899.70, 106,415.10 and 75,899.70 is: 106,415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,899.70 : 106,415.10 = 75,899.70 : x
  2. Step 2: Convert to fraction form
    75,899.70/106,415.10 = 75,899.70/x
  3. Step 3: Cross multiply
    75,899.70x = 106,415.10 × 75,899.70
  4. Step 4: Simplify right side
    75,899.70x = 8,076,874,165.47
  5. Step 5: Solve for x
    x = 8,076,874,165.47/75,899.70
  6. Step 6: Final answer
    x = 106,415.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.