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Finding the Fourth Proportional to 255,814.65, 383,557.86 and 106,158.24

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Solution

The fourth proportional to 255,814.65, 383,557.86 and 106,158.24 is: 159,169.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,814.65 : 383,557.86 = 106,158.24 : x
  2. Step 2: Convert to fraction form
    255,814.65/383,557.86 = 106,158.24/x
  3. Step 3: Cross multiply
    255,814.65x = 383,557.86 × 106,158.24
  4. Step 4: Simplify right side
    255,814.65x = 40,717,827,355.77
  5. Step 5: Solve for x
    x = 40,717,827,355.77/255,814.65
  6. Step 6: Final answer
    x = 159,169.26

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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.