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Finding the Fourth Proportional to 255,960.17, 383,776.22 and 106,303.76

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Solution

The fourth proportional to 255,960.17, 383,776.22 and 106,303.76 is: 159,387.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,960.17 : 383,776.22 = 106,303.76 : x
  2. Step 2: Convert to fraction form
    255,960.17/383,776.22 = 106,303.76/x
  3. Step 3: Cross multiply
    255,960.17x = 383,776.22 × 106,303.76
  4. Step 4: Simplify right side
    255,960.17x = 40,796,854,970.63
  5. Step 5: Solve for x
    x = 40,796,854,970.63/255,960.17
  6. Step 6: Final answer
    x = 159,387.51

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1.5x scale

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.