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Finding the Fourth Proportional to 255,174.92, 382,820.62 and 77,707.08

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Solution

The fourth proportional to 255,174.92, 382,820.62 and 77,707.08 is: 116,578.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,174.92 : 382,820.62 = 77,707.08 : x
  2. Step 2: Convert to fraction form
    255,174.92/382,820.62 = 77,707.08/x
  3. Step 3: Cross multiply
    255,174.92x = 382,820.62 × 77,707.08
  4. Step 4: Simplify right side
    255,174.92x = 29,747,872,543.99
  5. Step 5: Solve for x
    x = 29,747,872,543.99/255,174.92
  6. Step 6: Final answer
    x = 116,578.36

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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.