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Finding the Fourth Proportional to 229,878.10, 344,844.83 and 76,009.32

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Solution

The fourth proportional to 229,878.10, 344,844.83 and 76,009.32 is: 114,023.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,878.10 : 344,844.83 = 76,009.32 : x
  2. Step 2: Convert to fraction form
    229,878.10/344,844.83 = 76,009.32/x
  3. Step 3: Cross multiply
    229,878.10x = 344,844.83 × 76,009.32
  4. Step 4: Simplify right side
    229,878.10x = 26,211,421,223.84
  5. Step 5: Solve for x
    x = 26,211,421,223.84/229,878.10
  6. Step 6: Final answer
    x = 114,023.13

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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.