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Finding the Fourth Proportional to 214,967.80, 322,062.90 and 175,310.20

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Solution

The fourth proportional to 214,967.80, 322,062.90 and 175,310.20 is: 262,648.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,967.80 : 322,062.90 = 175,310.20 : x
  2. Step 2: Convert to fraction form
    214,967.80/322,062.90 = 175,310.20/x
  3. Step 3: Cross multiply
    214,967.80x = 322,062.90 × 175,310.20
  4. Step 4: Simplify right side
    214,967.80x = 56,460,911,411.58
  5. Step 5: Solve for x
    x = 56,460,911,411.58/214,967.80
  6. Step 6: Final answer
    x = 262,648.23

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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.