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Finding the Fourth Proportional to 114,126.64, 157,491.84 and 63,141.28

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Solution

The fourth proportional to 114,126.64, 157,491.84 and 63,141.28 is: 87,133.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,126.64 : 157,491.84 = 63,141.28 : x
  2. Step 2: Convert to fraction form
    114,126.64/157,491.84 = 63,141.28/x
  3. Step 3: Cross multiply
    114,126.64x = 157,491.84 × 63,141.28
  4. Step 4: Simplify right side
    114,126.64x = 9,944,236,367.16
  5. Step 5: Solve for x
    x = 9,944,236,367.16/114,126.64
  6. Step 6: Final answer
    x = 87,133.35

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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.