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Finding the Fourth Proportional to 228,931.38, 343,609.70 and 116,695.92

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Solution

The fourth proportional to 228,931.38, 343,609.70 and 116,695.92 is: 175,152.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,931.38 : 343,609.70 = 116,695.92 : x
  2. Step 2: Convert to fraction form
    228,931.38/343,609.70 = 116,695.92/x
  3. Step 3: Cross multiply
    228,931.38x = 343,609.70 × 116,695.92
  4. Step 4: Simplify right side
    228,931.38x = 40,097,850,062.42
  5. Step 5: Solve for x
    x = 40,097,850,062.42/228,931.38
  6. Step 6: Final answer
    x = 175,152.27

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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.