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Finding the Fourth Proportional to 207,264, 286,024.32 and 113,056

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Solution

The fourth proportional to 207,264, 286,024.32 and 113,056 is: 156,017.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,264 : 286,024.32 = 113,056 : x
  2. Step 2: Convert to fraction form
    207,264/286,024.32 = 113,056/x
  3. Step 3: Cross multiply
    207,264x = 286,024.32 × 113,056
  4. Step 4: Simplify right side
    207,264x = 32,336,765,521.92
  5. Step 5: Solve for x
    x = 32,336,765,521.92/207,264
  6. Step 6: Final answer
    x = 156,017.28

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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.