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Finding the Fourth Proportional to 229,187.64, 343,467.18 and 172,980.12

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Solution

The fourth proportional to 229,187.64, 343,467.18 and 172,980.12 is: 259,232.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,187.64 : 343,467.18 = 172,980.12 : x
  2. Step 2: Convert to fraction form
    229,187.64/343,467.18 = 172,980.12/x
  3. Step 3: Cross multiply
    229,187.64x = 343,467.18 × 172,980.12
  4. Step 4: Simplify right side
    229,187.64x = 59,412,994,012.46
  5. Step 5: Solve for x
    x = 59,412,994,012.46/229,187.64
  6. Step 6: Final answer
    x = 259,232.98

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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.