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Finding the Fourth Proportional to 254,886.66, 382,305.29 and 77,395.23

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Solution

The fourth proportional to 254,886.66, 382,305.29 and 77,395.23 is: 116,085.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,886.66 : 382,305.29 = 77,395.23 : x
  2. Step 2: Convert to fraction form
    254,886.66/382,305.29 = 77,395.23/x
  3. Step 3: Cross multiply
    254,886.66x = 382,305.29 × 77,395.23
  4. Step 4: Simplify right side
    254,886.66x = 29,588,605,462.79
  5. Step 5: Solve for x
    x = 29,588,605,462.79/254,886.66
  6. Step 6: Final answer
    x = 116,085.34

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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.