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Finding the Fourth Proportional to 228,977.30, 343,465.95 and 104,561.30

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Solution

The fourth proportional to 228,977.30, 343,465.95 and 104,561.30 is: 156,841.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,977.30 : 343,465.95 = 104,561.30 : x
  2. Step 2: Convert to fraction form
    228,977.30/343,465.95 = 104,561.30/x
  3. Step 3: Cross multiply
    228,977.30x = 343,465.95 × 104,561.30
  4. Step 4: Simplify right side
    228,977.30x = 35,913,246,237.74
  5. Step 5: Solve for x
    x = 35,913,246,237.74/228,977.30
  6. Step 6: Final answer
    x = 156,841.95

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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.