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Finding the Fourth Proportional to 255,993.72, 384,064.38 and 78,526.86

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Solution

The fourth proportional to 255,993.72, 384,064.38 and 78,526.86 is: 117,812.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,993.72 : 384,064.38 = 78,526.86 : x
  2. Step 2: Convert to fraction form
    255,993.72/384,064.38 = 78,526.86/x
  3. Step 3: Cross multiply
    255,993.72x = 384,064.38 × 78,526.86
  4. Step 4: Simplify right side
    255,993.72x = 30,159,369,799.25
  5. Step 5: Solve for x
    x = 30,159,369,799.25/255,993.72
  6. Step 6: Final answer
    x = 117,812.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.