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Finding the Fourth Proportional to 255,245.54, 382,854.33 and 77,737.68

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Solution

The fourth proportional to 255,245.54, 382,854.33 and 77,737.68 is: 116,602.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,245.54 : 382,854.33 = 77,737.68 : x
  2. Step 2: Convert to fraction form
    255,245.54/382,854.33 = 77,737.68/x
  3. Step 3: Cross multiply
    255,245.54x = 382,854.33 × 77,737.68
  4. Step 4: Simplify right side
    255,245.54x = 29,762,207,392.15
  5. Step 5: Solve for x
    x = 29,762,207,392.15/255,245.54
  6. Step 6: Final answer
    x = 116,602.26

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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.