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Finding the Fourth Proportional to 213,398.88, 294,627.74 and 136,950.93

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Solution

The fourth proportional to 213,398.88, 294,627.74 and 136,950.93 is: 189,080.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,398.88 : 294,627.74 = 136,950.93 : x
  2. Step 2: Convert to fraction form
    213,398.88/294,627.74 = 136,950.93/x
  3. Step 3: Cross multiply
    213,398.88x = 294,627.74 × 136,950.93
  4. Step 4: Simplify right side
    213,398.88x = 40,349,542,446.34
  5. Step 5: Solve for x
    x = 40,349,542,446.34/213,398.88
  6. Step 6: Final answer
    x = 189,080.39

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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.