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Finding the Fourth Proportional to 213,519.33, 294,656.76 and 118,026

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Solution

The fourth proportional to 213,519.33, 294,656.76 and 118,026 is: 162,875.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,519.33 : 294,656.76 = 118,026 : x
  2. Step 2: Convert to fraction form
    213,519.33/294,656.76 = 118,026/x
  3. Step 3: Cross multiply
    213,519.33x = 294,656.76 × 118,026
  4. Step 4: Simplify right side
    213,519.33x = 34,777,158,755.76
  5. Step 5: Solve for x
    x = 34,777,158,755.76/213,519.33
  6. Step 6: Final answer
    x = 162,875.93

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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.