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Finding the Fourth Proportional to 233,714.80, 350,053.80 and 180,953.20

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Solution

The fourth proportional to 233,714.80, 350,053.80 and 180,953.20 is: 271,028.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,714.80 : 350,053.80 = 180,953.20 : x
  2. Step 2: Convert to fraction form
    233,714.80/350,053.80 = 180,953.20/x
  3. Step 3: Cross multiply
    233,714.80x = 350,053.80 × 180,953.20
  4. Step 4: Simplify right side
    233,714.80x = 63,343,355,282.16
  5. Step 5: Solve for x
    x = 63,343,355,282.16/233,714.80
  6. Step 6: Final answer
    x = 271,028.43

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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.