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Finding the Fourth Proportional to 213,156.90, 294,162.84 and 117,669.78

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Solution

The fourth proportional to 213,156.90, 294,162.84 and 117,669.78 is: 162,387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,156.90 : 294,162.84 = 117,669.78 : x
  2. Step 2: Convert to fraction form
    213,156.90/294,162.84 = 117,669.78/x
  3. Step 3: Cross multiply
    213,156.90x = 294,162.84 × 117,669.78
  4. Step 4: Simplify right side
    213,156.90x = 34,614,076,666.98
  5. Step 5: Solve for x
    x = 34,614,076,666.98/213,156.90
  6. Step 6: Final answer
    x = 162,387.78

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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.