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Finding the Fourth Proportional to 144,755.92, 199,762.50 and 81,094.24

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Solution

The fourth proportional to 144,755.92, 199,762.50 and 81,094.24 is: 111,909.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,755.92 : 199,762.50 = 81,094.24 : x
  2. Step 2: Convert to fraction form
    144,755.92/199,762.50 = 81,094.24/x
  3. Step 3: Cross multiply
    144,755.92x = 199,762.50 × 81,094.24
  4. Step 4: Simplify right side
    144,755.92x = 16,199,588,118.00
  5. Step 5: Solve for x
    x = 16,199,588,118.00/144,755.92
  6. Step 6: Final answer
    x = 111,909.68

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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.