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Finding the Fourth Proportional to 114,298, 157,731.30 and 63,998.08

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Solution

The fourth proportional to 114,298, 157,731.30 and 63,998.08 is: 88,317.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,298 : 157,731.30 = 63,998.08 : x
  2. Step 2: Convert to fraction form
    114,298/157,731.30 = 63,998.08/x
  3. Step 3: Cross multiply
    114,298x = 157,731.30 × 63,998.08
  4. Step 4: Simplify right side
    114,298x = 10,094,500,355.90
  5. Step 5: Solve for x
    x = 10,094,500,355.90/114,298
  6. Step 6: Final answer
    x = 88,317.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.