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Finding the Fourth Proportional to 255,808.43, 383,548.62 and 106,152.02

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Solution

The fourth proportional to 255,808.43, 383,548.62 and 106,152.02 is: 159,159.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,808.43 : 383,548.62 = 106,152.02 : x
  2. Step 2: Convert to fraction form
    255,808.43/383,548.62 = 106,152.02/x
  3. Step 3: Cross multiply
    255,808.43x = 383,548.62 × 106,152.02
  4. Step 4: Simplify right side
    255,808.43x = 40,714,460,102.74
  5. Step 5: Solve for x
    x = 40,714,460,102.74/255,808.43
  6. Step 6: Final answer
    x = 159,159.96

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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.