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Finding the Fourth Proportional to 228,565.38, 315,421.12 and 133,137.66

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Solution

The fourth proportional to 228,565.38, 315,421.12 and 133,137.66 is: 183,730.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,565.38 : 315,421.12 = 133,137.66 : x
  2. Step 2: Convert to fraction form
    228,565.38/315,421.12 = 133,137.66/x
  3. Step 3: Cross multiply
    228,565.38x = 315,421.12 × 133,137.66
  4. Step 4: Simplify right side
    228,565.38x = 41,994,429,831.38
  5. Step 5: Solve for x
    x = 41,994,429,831.38/228,565.38
  6. Step 6: Final answer
    x = 183,730.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.