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Finding the Fourth Proportional to 213,142.95, 294,116.31 and 117,643.50

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Solution

The fourth proportional to 213,142.95, 294,116.31 and 117,643.50 is: 162,336.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,142.95 : 294,116.31 = 117,643.50 : x
  2. Step 2: Convert to fraction form
    213,142.95/294,116.31 = 117,643.50/x
  3. Step 3: Cross multiply
    213,142.95x = 294,116.31 × 117,643.50
  4. Step 4: Simplify right side
    213,142.95x = 34,600,872,115.49
  5. Step 5: Solve for x
    x = 34,600,872,115.49/213,142.95
  6. Step 6: Final answer
    x = 162,336.46

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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.