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Finding the Fourth Proportional to 152,414.52, 228,199.32 and 114,860.88

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Solution

The fourth proportional to 152,414.52, 228,199.32 and 114,860.88 is: 171,972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,414.52 : 228,199.32 = 114,860.88 : x
  2. Step 2: Convert to fraction form
    152,414.52/228,199.32 = 114,860.88/x
  3. Step 3: Cross multiply
    152,414.52x = 228,199.32 × 114,860.88
  4. Step 4: Simplify right side
    152,414.52x = 26,211,174,710.60
  5. Step 5: Solve for x
    x = 26,211,174,710.60/152,414.52
  6. Step 6: Final answer
    x = 171,972.95

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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.