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Finding the Fourth Proportional to 157,517, 236,384.94 and 64,022.84

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Solution

The fourth proportional to 157,517, 236,384.94 and 64,022.84 is: 96,078.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,517 : 236,384.94 = 64,022.84 : x
  2. Step 2: Convert to fraction form
    157,517/236,384.94 = 64,022.84/x
  3. Step 3: Cross multiply
    157,517x = 236,384.94 × 64,022.84
  4. Step 4: Simplify right side
    157,517x = 15,134,035,192.03
  5. Step 5: Solve for x
    x = 15,134,035,192.03/157,517
  6. Step 6: Final answer
    x = 96,078.74

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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.