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Finding the Fourth Proportional to 182,752, 252,197.76 and 103,264

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Solution

The fourth proportional to 182,752, 252,197.76 and 103,264 is: 142,504.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,752 : 252,197.76 = 103,264 : x
  2. Step 2: Convert to fraction form
    182,752/252,197.76 = 103,264/x
  3. Step 3: Cross multiply
    182,752x = 252,197.76 × 103,264
  4. Step 4: Simplify right side
    182,752x = 26,042,949,488.64
  5. Step 5: Solve for x
    x = 26,042,949,488.64/182,752
  6. Step 6: Final answer
    x = 142,504.32

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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.