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Finding the Fourth Proportional to 255,005.01, 382,551.26 and 77,529.96

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Solution

The fourth proportional to 255,005.01, 382,551.26 and 77,529.96 is: 116,308.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,005.01 : 382,551.26 = 77,529.96 : x
  2. Step 2: Convert to fraction form
    255,005.01/382,551.26 = 77,529.96/x
  3. Step 3: Cross multiply
    255,005.01x = 382,551.26 × 77,529.96
  4. Step 4: Simplify right side
    255,005.01x = 29,659,183,498.10
  5. Step 5: Solve for x
    x = 29,659,183,498.10/255,005.01
  6. Step 6: Final answer
    x = 116,308.24

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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.