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Finding the Fourth Proportional to 114,358.01, 157,822.36 and 69,047.01

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Solution

The fourth proportional to 114,358.01, 157,822.36 and 69,047.01 is: 95,289.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,358.01 : 157,822.36 = 69,047.01 : x
  2. Step 2: Convert to fraction form
    114,358.01/157,822.36 = 69,047.01/x
  3. Step 3: Cross multiply
    114,358.01x = 157,822.36 × 69,047.01
  4. Step 4: Simplify right side
    114,358.01x = 10,897,161,896.53
  5. Step 5: Solve for x
    x = 10,897,161,896.53/114,358.01
  6. Step 6: Final answer
    x = 95,289.89

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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.