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Finding the Fourth Proportional to 255,808.86, 383,549.28 and 106,152.45

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Solution

The fourth proportional to 255,808.86, 383,549.28 and 106,152.45 is: 159,160.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,808.86 : 383,549.28 = 106,152.45 : x
  2. Step 2: Convert to fraction form
    255,808.86/383,549.28 = 106,152.45/x
  3. Step 3: Cross multiply
    255,808.86x = 383,549.28 × 106,152.45
  4. Step 4: Simplify right side
    255,808.86x = 40,714,695,767.74
  5. Step 5: Solve for x
    x = 40,714,695,767.74/255,808.86
  6. Step 6: Final answer
    x = 159,160.62

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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.