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Finding the Fourth Proportional to 213,254.28, 294,291 and 117,767.46

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Solution

The fourth proportional to 213,254.28, 294,291 and 117,767.46 is: 162,519.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,254.28 : 294,291 = 117,767.46 : x
  2. Step 2: Convert to fraction form
    213,254.28/294,291 = 117,767.46/x
  3. Step 3: Cross multiply
    213,254.28x = 294,291 × 117,767.46
  4. Step 4: Simplify right side
    213,254.28x = 34,657,903,570.86
  5. Step 5: Solve for x
    x = 34,657,903,570.86/213,254.28
  6. Step 6: Final answer
    x = 162,519.15

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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.