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Finding the Fourth Proportional to 255,232.54, 352,298.37 and 147,828.94

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Solution

The fourth proportional to 255,232.54, 352,298.37 and 147,828.94 is: 204,048.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,232.54 : 352,298.37 = 147,828.94 : x
  2. Step 2: Convert to fraction form
    255,232.54/352,298.37 = 147,828.94/x
  3. Step 3: Cross multiply
    255,232.54x = 352,298.37 × 147,828.94
  4. Step 4: Simplify right side
    255,232.54x = 52,079,894,600.83
  5. Step 5: Solve for x
    x = 52,079,894,600.83/255,232.54
  6. Step 6: Final answer
    x = 204,048.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.