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Finding the Fourth Proportional to 255,454.32, 383,181.44 and 77,962.24

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Solution

The fourth proportional to 255,454.32, 383,181.44 and 77,962.24 is: 116,943.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,454.32 : 383,181.44 = 77,962.24 : x
  2. Step 2: Convert to fraction form
    255,454.32/383,181.44 = 77,962.24/x
  3. Step 3: Cross multiply
    255,454.32x = 383,181.44 × 77,962.24
  4. Step 4: Simplify right side
    255,454.32x = 29,873,683,388.83
  5. Step 5: Solve for x
    x = 29,873,683,388.83/255,454.32
  6. Step 6: Final answer
    x = 116,943.35

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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.