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Finding the Fourth Proportional to 75,898.20, 106,413 and 75,898.20

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Solution

The fourth proportional to 75,898.20, 106,413 and 75,898.20 is: 106,413

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,898.20 : 106,413 = 75,898.20 : x
  2. Step 2: Convert to fraction form
    75,898.20/106,413 = 75,898.20/x
  3. Step 3: Cross multiply
    75,898.20x = 106,413 × 75,898.20
  4. Step 4: Simplify right side
    75,898.20x = 8,076,555,156.60
  5. Step 5: Solve for x
    x = 8,076,555,156.60/75,898.20
  6. Step 6: Final answer
    x = 106,413

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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.