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Finding the Fourth Proportional to 293,203.80, 439,748.10 and 96,211.80

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Solution

The fourth proportional to 293,203.80, 439,748.10 and 96,211.80 is: 144,298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,203.80 : 439,748.10 = 96,211.80 : x
  2. Step 2: Convert to fraction form
    293,203.80/439,748.10 = 96,211.80/x
  3. Step 3: Cross multiply
    293,203.80x = 439,748.10 × 96,211.80
  4. Step 4: Simplify right side
    293,203.80x = 42,308,956,247.58
  5. Step 5: Solve for x
    x = 42,308,956,247.58/293,203.80
  6. Step 6: Final answer
    x = 144,298.80

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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.