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Finding the Fourth Proportional to 213,992.17, 295,308.72 and 123,347.53

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Solution

The fourth proportional to 213,992.17, 295,308.72 and 123,347.53 is: 170,219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,992.17 : 295,308.72 = 123,347.53 : x
  2. Step 2: Convert to fraction form
    213,992.17/295,308.72 = 123,347.53/x
  3. Step 3: Cross multiply
    213,992.17x = 295,308.72 × 123,347.53
  4. Step 4: Simplify right side
    213,992.17x = 36,425,601,199.46
  5. Step 5: Solve for x
    x = 36,425,601,199.46/213,992.17
  6. Step 6: Final answer
    x = 170,219.32

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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.