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Finding the Fourth Proportional to 255,256.92, 382,911.57 and 97,617.96

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Solution

The fourth proportional to 255,256.92, 382,911.57 and 97,617.96 is: 146,436.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,256.92 : 382,911.57 = 97,617.96 : x
  2. Step 2: Convert to fraction form
    255,256.92/382,911.57 = 97,617.96/x
  3. Step 3: Cross multiply
    255,256.92x = 382,911.57 × 97,617.96
  4. Step 4: Simplify right side
    255,256.92x = 37,379,046,323.80
  5. Step 5: Solve for x
    x = 37,379,046,323.80/255,256.92
  6. Step 6: Final answer
    x = 146,436.96

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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.