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Finding the Fourth Proportional to 213,911.68, 295,201.62 and 117,113.93

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Solution

The fourth proportional to 213,911.68, 295,201.62 and 117,113.93 is: 161,619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,911.68 : 295,201.62 = 117,113.93 : x
  2. Step 2: Convert to fraction form
    213,911.68/295,201.62 = 117,113.93/x
  3. Step 3: Cross multiply
    213,911.68x = 295,201.62 × 117,113.93
  4. Step 4: Simplify right side
    213,911.68x = 34,572,220,384.56
  5. Step 5: Solve for x
    x = 34,572,220,384.56/213,911.68
  6. Step 6: Final answer
    x = 161,619.14

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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.