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Finding the Fourth Proportional to 255,321, 382,981.50 and 68,327.64

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Solution

The fourth proportional to 255,321, 382,981.50 and 68,327.64 is: 102,491.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,321 : 382,981.50 = 68,327.64 : x
  2. Step 2: Convert to fraction form
    255,321/382,981.50 = 68,327.64/x
  3. Step 3: Cross multiply
    255,321x = 382,981.50 × 68,327.64
  4. Step 4: Simplify right side
    255,321x = 26,168,222,058.66
  5. Step 5: Solve for x
    x = 26,168,222,058.66/255,321
  6. Step 6: Final answer
    x = 102,491.46

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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.