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Finding the Fourth Proportional to 228,214.80, 342,322.20 and 201,970.80

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Solution

The fourth proportional to 228,214.80, 342,322.20 and 201,970.80 is: 302,956.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,214.80 : 342,322.20 = 201,970.80 : x
  2. Step 2: Convert to fraction form
    228,214.80/342,322.20 = 201,970.80/x
  3. Step 3: Cross multiply
    228,214.80x = 342,322.20 × 201,970.80
  4. Step 4: Simplify right side
    228,214.80x = 69,139,088,591.76
  5. Step 5: Solve for x
    x = 69,139,088,591.76/228,214.80
  6. Step 6: Final answer
    x = 302,956.20

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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.