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Finding the Fourth Proportional to 255,958.51, 383,773.73 and 106,302.10

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Solution

The fourth proportional to 255,958.51, 383,773.73 and 106,302.10 is: 159,385.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,958.51 : 383,773.73 = 106,302.10 : x
  2. Step 2: Convert to fraction form
    255,958.51/383,773.73 = 106,302.10/x
  3. Step 3: Cross multiply
    255,958.51x = 383,773.73 × 106,302.10
  4. Step 4: Simplify right side
    255,958.51x = 40,795,953,423.83
  5. Step 5: Solve for x
    x = 40,795,953,423.83/255,958.51
  6. Step 6: Final answer
    x = 159,385.02

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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.