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Finding the Fourth Proportional to 113,464.16, 156,601.53 and 65,717.49

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Solution

The fourth proportional to 113,464.16, 156,601.53 and 65,717.49 is: 90,702.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,464.16 : 156,601.53 = 65,717.49 : x
  2. Step 2: Convert to fraction form
    113,464.16/156,601.53 = 65,717.49/x
  3. Step 3: Cross multiply
    113,464.16x = 156,601.53 × 65,717.49
  4. Step 4: Simplify right side
    113,464.16x = 10,291,459,481.76
  5. Step 5: Solve for x
    x = 10,291,459,481.76/113,464.16
  6. Step 6: Final answer
    x = 90,702.30

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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.