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Finding the Fourth Proportional to 227,907.30, 342,079.65 and 115,714.20

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Solution

The fourth proportional to 227,907.30, 342,079.65 and 115,714.20 is: 173,682.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,907.30 : 342,079.65 = 115,714.20 : x
  2. Step 2: Convert to fraction form
    227,907.30/342,079.65 = 115,714.20/x
  3. Step 3: Cross multiply
    227,907.30x = 342,079.65 × 115,714.20
  4. Step 4: Simplify right side
    227,907.30x = 39,583,473,036.03
  5. Step 5: Solve for x
    x = 39,583,473,036.03/227,907.30
  6. Step 6: Final answer
    x = 173,682.34

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1.5x scale

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.