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Finding the Fourth Proportional to 213,224.40, 294,254.24 and 117,737.08

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Solution

The fourth proportional to 213,224.40, 294,254.24 and 117,737.08 is: 162,479.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,224.40 : 294,254.24 = 117,737.08 : x
  2. Step 2: Convert to fraction form
    213,224.40/294,254.24 = 117,737.08/x
  3. Step 3: Cross multiply
    213,224.40x = 294,254.24 × 117,737.08
  4. Step 4: Simplify right side
    213,224.40x = 34,644,634,995.22
  5. Step 5: Solve for x
    x = 34,644,634,995.22/213,224.40
  6. Step 6: Final answer
    x = 162,479.69

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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.