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Finding the Fourth Proportional to 164,592.32, 246,900.08 and 81,464

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Solution

The fourth proportional to 164,592.32, 246,900.08 and 81,464 is: 122,201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,592.32 : 246,900.08 = 81,464 : x
  2. Step 2: Convert to fraction form
    164,592.32/246,900.08 = 81,464/x
  3. Step 3: Cross multiply
    164,592.32x = 246,900.08 × 81,464
  4. Step 4: Simplify right side
    164,592.32x = 20,113,468,117.12
  5. Step 5: Solve for x
    x = 20,113,468,117.12/164,592.32
  6. Step 6: Final answer
    x = 122,201.74

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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.