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Finding the Fourth Proportional to 114,339.84, 157,743.36 and 69,005.76

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Solution

The fourth proportional to 114,339.84, 157,743.36 and 69,005.76 is: 95,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,339.84 : 157,743.36 = 69,005.76 : x
  2. Step 2: Convert to fraction form
    114,339.84/157,743.36 = 69,005.76/x
  3. Step 3: Cross multiply
    114,339.84x = 157,743.36 × 69,005.76
  4. Step 4: Simplify right side
    114,339.84x = 10,885,200,441.75
  5. Step 5: Solve for x
    x = 10,885,200,441.75/114,339.84
  6. Step 6: Final answer
    x = 95,200.42

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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.