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Finding the Fourth Proportional to 228,794.19, 342,987.17 and 116,411.55

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Solution

The fourth proportional to 228,794.19, 342,987.17 and 116,411.55 is: 174,513.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,794.19 : 342,987.17 = 116,411.55 : x
  2. Step 2: Convert to fraction form
    228,794.19/342,987.17 = 116,411.55/x
  3. Step 3: Cross multiply
    228,794.19x = 342,987.17 × 116,411.55
  4. Step 4: Simplify right side
    228,794.19x = 39,927,667,507.76
  5. Step 5: Solve for x
    x = 39,927,667,507.76/228,794.19
  6. Step 6: Final answer
    x = 174,513.47

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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.