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Finding the Fourth Proportional to 117,314.99, 161,893.64 and 65,631.53

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Solution

The fourth proportional to 117,314.99, 161,893.64 and 65,631.53 is: 90,570.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,314.99 : 161,893.64 = 65,631.53 : x
  2. Step 2: Convert to fraction form
    117,314.99/161,893.64 = 65,631.53/x
  3. Step 3: Cross multiply
    117,314.99x = 161,893.64 × 65,631.53
  4. Step 4: Simplify right side
    117,314.99x = 10,625,326,152.84
  5. Step 5: Solve for x
    x = 10,625,326,152.84/117,314.99
  6. Step 6: Final answer
    x = 90,570.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.