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Finding the Fourth Proportional to 114,497.12, 157,933.32 and 82,712.72

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Solution

The fourth proportional to 114,497.12, 157,933.32 and 82,712.72 is: 114,091.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,497.12 : 157,933.32 = 82,712.72 : x
  2. Step 2: Convert to fraction form
    114,497.12/157,933.32 = 82,712.72/x
  3. Step 3: Cross multiply
    114,497.12x = 157,933.32 × 82,712.72
  4. Step 4: Simplify right side
    114,497.12x = 13,063,094,475.83
  5. Step 5: Solve for x
    x = 13,063,094,475.83/114,497.12
  6. Step 6: Final answer
    x = 114,091.03

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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.