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Finding the Fourth Proportional to 113,464.91, 156,602.57 and 65,718.24

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Solution

The fourth proportional to 113,464.91, 156,602.57 and 65,718.24 is: 90,703.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,464.91 : 156,602.57 = 65,718.24 : x
  2. Step 2: Convert to fraction form
    113,464.91/156,602.57 = 65,718.24/x
  3. Step 3: Cross multiply
    113,464.91x = 156,602.57 × 65,718.24
  4. Step 4: Simplify right side
    113,464.91x = 10,291,644,951.29
  5. Step 5: Solve for x
    x = 10,291,644,951.29/113,464.91
  6. Step 6: Final answer
    x = 90,703.33

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1.5x scale

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.