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Finding the Fourth Proportional to 229,165.90, 316,247.84 and 127,192.58

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Solution

The fourth proportional to 229,165.90, 316,247.84 and 127,192.58 is: 175,525.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,165.90 : 316,247.84 = 127,192.58 : x
  2. Step 2: Convert to fraction form
    229,165.90/316,247.84 = 127,192.58/x
  3. Step 3: Cross multiply
    229,165.90x = 316,247.84 × 127,192.58
  4. Step 4: Simplify right side
    229,165.90x = 40,224,378,689.03
  5. Step 5: Solve for x
    x = 40,224,378,689.03/229,165.90
  6. Step 6: Final answer
    x = 175,525.15

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1.5x scale

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.