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Finding the Fourth Proportional to 113,464.08, 156,578.22 and 71,046

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Solution

The fourth proportional to 113,464.08, 156,578.22 and 71,046 is: 98,042.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,464.08 : 156,578.22 = 71,046 : x
  2. Step 2: Convert to fraction form
    113,464.08/156,578.22 = 71,046/x
  3. Step 3: Cross multiply
    113,464.08x = 156,578.22 × 71,046
  4. Step 4: Simplify right side
    113,464.08x = 11,124,256,218.12
  5. Step 5: Solve for x
    x = 11,124,256,218.12/113,464.08
  6. Step 6: Final answer
    x = 98,042.10

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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.