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Finding the Fourth Proportional to 164,593.32, 246,901.58 and 81,465

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Solution

The fourth proportional to 164,593.32, 246,901.58 and 81,465 is: 122,203.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,593.32 : 246,901.58 = 81,465 : x
  2. Step 2: Convert to fraction form
    164,593.32/246,901.58 = 81,465/x
  3. Step 3: Cross multiply
    164,593.32x = 246,901.58 × 81,465
  4. Step 4: Simplify right side
    164,593.32x = 20,113,837,214.70
  5. Step 5: Solve for x
    x = 20,113,837,214.70/164,593.32
  6. Step 6: Final answer
    x = 122,203.24

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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.