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Finding the Fourth Proportional to 213,055.95, 294,010.16 and 117,562.71

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Solution

The fourth proportional to 213,055.95, 294,010.16 and 117,562.71 is: 162,232.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,055.95 : 294,010.16 = 117,562.71 : x
  2. Step 2: Convert to fraction form
    213,055.95/294,010.16 = 117,562.71/x
  3. Step 3: Cross multiply
    213,055.95x = 294,010.16 × 117,562.71
  4. Step 4: Simplify right side
    213,055.95x = 34,564,630,589.32
  5. Step 5: Solve for x
    x = 34,564,630,589.32/213,055.95
  6. Step 6: Final answer
    x = 162,232.65

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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.