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Finding the Fourth Proportional to 205,208.46, 308,279.73 and 148,457.40

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Solution

The fourth proportional to 205,208.46, 308,279.73 and 148,457.40 is: 223,023.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,208.46 : 308,279.73 = 148,457.40 : x
  2. Step 2: Convert to fraction form
    205,208.46/308,279.73 = 148,457.40/x
  3. Step 3: Cross multiply
    205,208.46x = 308,279.73 × 148,457.40
  4. Step 4: Simplify right side
    205,208.46x = 45,766,407,188.50
  5. Step 5: Solve for x
    x = 45,766,407,188.50/205,208.46
  6. Step 6: Final answer
    x = 223,023.98

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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.