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Finding the Fourth Proportional to 115,471.64, 173,602.74 and 106,814.36

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Solution

The fourth proportional to 115,471.64, 173,602.74 and 106,814.36 is: 160,587.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,471.64 : 173,602.74 = 106,814.36 : x
  2. Step 2: Convert to fraction form
    115,471.64/173,602.74 = 106,814.36/x
  3. Step 3: Cross multiply
    115,471.64x = 173,602.74 × 106,814.36
  4. Step 4: Simplify right side
    115,471.64x = 18,543,265,567.35
  5. Step 5: Solve for x
    x = 18,543,265,567.35/115,471.64
  6. Step 6: Final answer
    x = 160,587.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.