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Finding the Fourth Proportional to 213,026.65, 293,977.73 and 117,536.15

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Solution

The fourth proportional to 213,026.65, 293,977.73 and 117,536.15 is: 162,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,026.65 : 293,977.73 = 117,536.15 : x
  2. Step 2: Convert to fraction form
    213,026.65/293,977.73 = 117,536.15/x
  3. Step 3: Cross multiply
    213,026.65x = 293,977.73 × 117,536.15
  4. Step 4: Simplify right side
    213,026.65x = 34,553,011,598.72
  5. Step 5: Solve for x
    x = 34,553,011,598.72/213,026.65
  6. Step 6: Final answer
    x = 162,200.42

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