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Finding the Fourth Proportional to 157,906.40, 217,908.19 and 86,284.77

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Solution

The fourth proportional to 157,906.40, 217,908.19 and 86,284.77 is: 119,071.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,906.40 : 217,908.19 = 86,284.77 : x
  2. Step 2: Convert to fraction form
    157,906.40/217,908.19 = 86,284.77/x
  3. Step 3: Cross multiply
    157,906.40x = 217,908.19 × 86,284.77
  4. Step 4: Simplify right side
    157,906.40x = 18,802,158,055.27
  5. Step 5: Solve for x
    x = 18,802,158,055.27/157,906.40
  6. Step 6: Final answer
    x = 119,071.54

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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.