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Finding the Fourth Proportional to 228,214.24, 342,036.24 and 109,853.92

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Solution

The fourth proportional to 228,214.24, 342,036.24 and 109,853.92 is: 164,643.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,214.24 : 342,036.24 = 109,853.92 : x
  2. Step 2: Convert to fraction form
    228,214.24/342,036.24 = 109,853.92/x
  3. Step 3: Cross multiply
    228,214.24x = 342,036.24 × 109,853.92
  4. Step 4: Simplify right side
    228,214.24x = 37,574,021,746.06
  5. Step 5: Solve for x
    x = 37,574,021,746.06/228,214.24
  6. Step 6: Final answer
    x = 164,643.63

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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.