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Finding the Fourth Proportional to 114,032.64, 157,364.64 and 63,731.64

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Solution

The fourth proportional to 114,032.64, 157,364.64 and 63,731.64 is: 87,949.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,032.64 : 157,364.64 = 63,731.64 : x
  2. Step 2: Convert to fraction form
    114,032.64/157,364.64 = 63,731.64/x
  3. Step 3: Cross multiply
    114,032.64x = 157,364.64 × 63,731.64
  4. Step 4: Simplify right side
    114,032.64x = 10,029,106,234.09
  5. Step 5: Solve for x
    x = 10,029,106,234.09/114,032.64
  6. Step 6: Final answer
    x = 87,949.44

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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.