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Finding the Fourth Proportional to 114,017, 157,343.46 and 63,716

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Solution

The fourth proportional to 114,017, 157,343.46 and 63,716 is: 87,928.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,017 : 157,343.46 = 63,716 : x
  2. Step 2: Convert to fraction form
    114,017/157,343.46 = 63,716/x
  3. Step 3: Cross multiply
    114,017x = 157,343.46 × 63,716
  4. Step 4: Simplify right side
    114,017x = 10,025,295,897.36
  5. Step 5: Solve for x
    x = 10,025,295,897.36/114,017
  6. Step 6: Final answer
    x = 87,928.08

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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.