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Finding the Fourth Proportional to 213,714.08, 295,059.80 and 137,264

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Solution

The fourth proportional to 213,714.08, 295,059.80 and 137,264 is: 189,510.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,714.08 : 295,059.80 = 137,264 : x
  2. Step 2: Convert to fraction form
    213,714.08/295,059.80 = 137,264/x
  3. Step 3: Cross multiply
    213,714.08x = 295,059.80 × 137,264
  4. Step 4: Simplify right side
    213,714.08x = 40,501,088,387.20
  5. Step 5: Solve for x
    x = 40,501,088,387.20/213,714.08
  6. Step 6: Final answer
    x = 189,510.62

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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.