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Finding the Fourth Proportional to 140,842.92, 211,264.74 and 35,661.90

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Solution

The fourth proportional to 140,842.92, 211,264.74 and 35,661.90 is: 53,492.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,842.92 : 211,264.74 = 35,661.90 : x
  2. Step 2: Convert to fraction form
    140,842.92/211,264.74 = 35,661.90/x
  3. Step 3: Cross multiply
    140,842.92x = 211,264.74 × 35,661.90
  4. Step 4: Simplify right side
    140,842.92x = 7,534,102,031.41
  5. Step 5: Solve for x
    x = 7,534,102,031.41/140,842.92
  6. Step 6: Final answer
    x = 53,492.94

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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.