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Finding the Fourth Proportional to 109,000.86, 150,424.98 and 61,253.24

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Solution

The fourth proportional to 109,000.86, 150,424.98 and 61,253.24 is: 84,531.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,000.86 : 150,424.98 = 61,253.24 : x
  2. Step 2: Convert to fraction form
    109,000.86/150,424.98 = 61,253.24/x
  3. Step 3: Cross multiply
    109,000.86x = 150,424.98 × 61,253.24
  4. Step 4: Simplify right side
    109,000.86x = 9,214,017,401.94
  5. Step 5: Solve for x
    x = 9,214,017,401.94/109,000.86
  6. Step 6: Final answer
    x = 84,531.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.