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Finding the Fourth Proportional to 229,132.32, 343,653.98 and 115,249.76

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Solution

The fourth proportional to 229,132.32, 343,653.98 and 115,249.76 is: 172,852.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,132.32 : 343,653.98 = 115,249.76 : x
  2. Step 2: Convert to fraction form
    229,132.32/343,653.98 = 115,249.76/x
  3. Step 3: Cross multiply
    229,132.32x = 343,653.98 × 115,249.76
  4. Step 4: Simplify right side
    229,132.32x = 39,606,038,718.04
  5. Step 5: Solve for x
    x = 39,606,038,718.04/229,132.32
  6. Step 6: Final answer
    x = 172,852.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.