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Finding the Fourth Proportional to 212,102.91, 292,746.62 and 134,528.33

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Solution

The fourth proportional to 212,102.91, 292,746.62 and 134,528.33 is: 185,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,102.91 : 292,746.62 = 134,528.33 : x
  2. Step 2: Convert to fraction form
    212,102.91/292,746.62 = 134,528.33/x
  3. Step 3: Cross multiply
    212,102.91x = 292,746.62 × 134,528.33
  4. Step 4: Simplify right side
    212,102.91x = 39,382,713,960.97
  5. Step 5: Solve for x
    x = 39,382,713,960.97/212,102.91
  6. Step 6: Final answer
    x = 185,677.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.