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Finding the Fourth Proportional to 255,663.84, 352,817.28 and 148,297.44

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Solution

The fourth proportional to 255,663.84, 352,817.28 and 148,297.44 is: 204,651.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,663.84 : 352,817.28 = 148,297.44 : x
  2. Step 2: Convert to fraction form
    255,663.84/352,817.28 = 148,297.44/x
  3. Step 3: Cross multiply
    255,663.84x = 352,817.28 × 148,297.44
  4. Step 4: Simplify right side
    255,663.84x = 52,321,899,411.76
  5. Step 5: Solve for x
    x = 52,321,899,411.76/255,663.84
  6. Step 6: Final answer
    x = 204,651.15

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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.