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Finding the Fourth Proportional to 114,986.24, 158,678.94 and 64,007.24

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Solution

The fourth proportional to 114,986.24, 158,678.94 and 64,007.24 is: 88,328.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,986.24 : 158,678.94 = 64,007.24 : x
  2. Step 2: Convert to fraction form
    114,986.24/158,678.94 = 64,007.24/x
  3. Step 3: Cross multiply
    114,986.24x = 158,678.94 × 64,007.24
  4. Step 4: Simplify right side
    114,986.24x = 10,156,600,995.53
  5. Step 5: Solve for x
    x = 10,156,600,995.53/114,986.24
  6. Step 6: Final answer
    x = 88,328.84

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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.