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Finding the Fourth Proportional to 113,465.68, 156,798.44 and 85,122.16

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Solution

The fourth proportional to 113,465.68, 156,798.44 and 85,122.16 is: 117,630.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,465.68 : 156,798.44 = 85,122.16 : x
  2. Step 2: Convert to fraction form
    113,465.68/156,798.44 = 85,122.16/x
  3. Step 3: Cross multiply
    113,465.68x = 156,798.44 × 85,122.16
  4. Step 4: Simplify right side
    113,465.68x = 13,347,021,897.43
  5. Step 5: Solve for x
    x = 13,347,021,897.43/113,465.68
  6. Step 6: Final answer
    x = 117,630.48

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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.