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Finding the Fourth Proportional to 229,292.16, 343,531.28 and 95,878.32

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Solution

The fourth proportional to 229,292.16, 343,531.28 and 95,878.32 is: 143,647.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,292.16 : 343,531.28 = 95,878.32 : x
  2. Step 2: Convert to fraction form
    229,292.16/343,531.28 = 95,878.32/x
  3. Step 3: Cross multiply
    229,292.16x = 343,531.28 × 95,878.32
  4. Step 4: Simplify right side
    229,292.16x = 32,937,201,993.85
  5. Step 5: Solve for x
    x = 32,937,201,993.85/229,292.16
  6. Step 6: Final answer
    x = 143,647.31

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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.