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Finding the Fourth Proportional to 213,509.25, 294,643.12 and 118,015.95

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Solution

The fourth proportional to 213,509.25, 294,643.12 and 118,015.95 is: 162,862.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,509.25 : 294,643.12 = 118,015.95 : x
  2. Step 2: Convert to fraction form
    213,509.25/294,643.12 = 118,015.95/x
  3. Step 3: Cross multiply
    213,509.25x = 294,643.12 × 118,015.95
  4. Step 4: Simplify right side
    213,509.25x = 34,772,586,262.86
  5. Step 5: Solve for x
    x = 34,772,586,262.86/213,509.25
  6. Step 6: Final answer
    x = 162,862.20

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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.