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Finding the Fourth Proportional to 213,420.16, 294,519.72 and 117,926.02

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Solution

The fourth proportional to 213,420.16, 294,519.72 and 117,926.02 is: 162,737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,420.16 : 294,519.72 = 117,926.02 : x
  2. Step 2: Convert to fraction form
    213,420.16/294,519.72 = 117,926.02/x
  3. Step 3: Cross multiply
    213,420.16x = 294,519.72 × 117,926.02
  4. Step 4: Simplify right side
    213,420.16x = 34,731,538,391.11
  5. Step 5: Solve for x
    x = 34,731,538,391.11/213,420.16
  6. Step 6: Final answer
    x = 162,737.85

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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.