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Finding the Fourth Proportional to 213,327.95, 294,386.93 and 117,832.60

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Solution

The fourth proportional to 213,327.95, 294,386.93 and 117,832.60 is: 162,605.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,327.95 : 294,386.93 = 117,832.60 : x
  2. Step 2: Convert to fraction form
    213,327.95/294,386.93 = 117,832.60/x
  3. Step 3: Cross multiply
    213,327.95x = 294,386.93 × 117,832.60
  4. Step 4: Simplify right side
    213,327.95x = 34,688,375,306.82
  5. Step 5: Solve for x
    x = 34,688,375,306.82/213,327.95
  6. Step 6: Final answer
    x = 162,605.86

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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.