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Finding the Fourth Proportional to 117,254, 161,810.52 and 66,953

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Solution

The fourth proportional to 117,254, 161,810.52 and 66,953 is: 92,395.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,254 : 161,810.52 = 66,953 : x
  2. Step 2: Convert to fraction form
    117,254/161,810.52 = 66,953/x
  3. Step 3: Cross multiply
    117,254x = 161,810.52 × 66,953
  4. Step 4: Simplify right side
    117,254x = 10,833,699,745.56
  5. Step 5: Solve for x
    x = 10,833,699,745.56/117,254
  6. Step 6: Final answer
    x = 92,395.14

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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.