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Finding the Fourth Proportional to 243,501.70, 365,252.55 and 199,214.95

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Solution

The fourth proportional to 243,501.70, 365,252.55 and 199,214.95 is: 298,822.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,501.70 : 365,252.55 = 199,214.95 : x
  2. Step 2: Convert to fraction form
    243,501.70/365,252.55 = 199,214.95/x
  3. Step 3: Cross multiply
    243,501.70x = 365,252.55 × 199,214.95
  4. Step 4: Simplify right side
    243,501.70x = 72,763,768,485.62
  5. Step 5: Solve for x
    x = 72,763,768,485.62/243,501.70
  6. Step 6: Final answer
    x = 298,822.43

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1.5x scale

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.