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Finding the Fourth Proportional to 152,344.58, 228,443.04 and 76,410.50

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Solution

The fourth proportional to 152,344.58, 228,443.04 and 76,410.50 is: 114,578.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,344.58 : 228,443.04 = 76,410.50 : x
  2. Step 2: Convert to fraction form
    152,344.58/228,443.04 = 76,410.50/x
  3. Step 3: Cross multiply
    152,344.58x = 228,443.04 × 76,410.50
  4. Step 4: Simplify right side
    152,344.58x = 17,455,445,765.70
  5. Step 5: Solve for x
    x = 17,455,445,765.70/152,344.58
  6. Step 6: Final answer
    x = 114,578.72

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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.