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Finding the Fourth Proportional to 228,549.39, 315,293.43 and 148,002.86

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Solution

The fourth proportional to 228,549.39, 315,293.43 and 148,002.86 is: 204,176.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,549.39 : 315,293.43 = 148,002.86 : x
  2. Step 2: Convert to fraction form
    228,549.39/315,293.43 = 148,002.86/x
  3. Step 3: Cross multiply
    228,549.39x = 315,293.43 × 148,002.86
  4. Step 4: Simplify right side
    228,549.39x = 46,664,327,802.74
  5. Step 5: Solve for x
    x = 46,664,327,802.74/228,549.39
  6. Step 6: Final answer
    x = 204,176.12

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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.