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Finding the Fourth Proportional to 255,484.92, 383,272.41 and 105,641.25

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Solution

The fourth proportional to 255,484.92, 383,272.41 and 105,641.25 is: 158,480.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,484.92 : 383,272.41 = 105,641.25 : x
  2. Step 2: Convert to fraction form
    255,484.92/383,272.41 = 105,641.25/x
  3. Step 3: Cross multiply
    255,484.92x = 383,272.41 × 105,641.25
  4. Step 4: Simplify right side
    255,484.92x = 40,489,376,482.91
  5. Step 5: Solve for x
    x = 40,489,376,482.91/255,484.92
  6. Step 6: Final answer
    x = 158,480.49

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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.