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Finding the Fourth Proportional to 152,648.08, 228,931.44 and 108,143.44

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Solution

The fourth proportional to 152,648.08, 228,931.44 and 108,143.44 is: 162,186.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,648.08 : 228,931.44 = 108,143.44 : x
  2. Step 2: Convert to fraction form
    152,648.08/228,931.44 = 108,143.44/x
  3. Step 3: Cross multiply
    152,648.08x = 228,931.44 × 108,143.44
  4. Step 4: Simplify right side
    152,648.08x = 24,757,433,445.75
  5. Step 5: Solve for x
    x = 24,757,433,445.75/152,648.08
  6. Step 6: Final answer
    x = 162,186.34

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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.