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Finding the Fourth Proportional to 117,143.76, 175,714.08 and 28,398.06

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Solution

The fourth proportional to 117,143.76, 175,714.08 and 28,398.06 is: 42,596.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,143.76 : 175,714.08 = 28,398.06 : x
  2. Step 2: Convert to fraction form
    117,143.76/175,714.08 = 28,398.06/x
  3. Step 3: Cross multiply
    117,143.76x = 175,714.08 × 28,398.06
  4. Step 4: Simplify right side
    117,143.76x = 4,989,938,986.68
  5. Step 5: Solve for x
    x = 4,989,938,986.68/117,143.76
  6. Step 6: Final answer
    x = 42,596.71

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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.