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Finding the Fourth Proportional to 255,216.83, 382,403.97 and 148,300.64

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Solution

The fourth proportional to 255,216.83, 382,403.97 and 148,300.64 is: 222,206.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,216.83 : 382,403.97 = 148,300.64 : x
  2. Step 2: Convert to fraction form
    255,216.83/382,403.97 = 148,300.64/x
  3. Step 3: Cross multiply
    255,216.83x = 382,403.97 × 148,300.64
  4. Step 4: Simplify right side
    255,216.83x = 56,710,753,011.54
  5. Step 5: Solve for x
    x = 56,710,753,011.54/255,216.83
  6. Step 6: Final answer
    x = 222,206.17

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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.