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Finding the Fourth Proportional to 191,662.92, 286,146.75 and 146,447.64

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Solution

The fourth proportional to 191,662.92, 286,146.75 and 146,447.64 is: 218,641.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,662.92 : 286,146.75 = 146,447.64 : x
  2. Step 2: Convert to fraction form
    191,662.92/286,146.75 = 146,447.64/x
  3. Step 3: Cross multiply
    191,662.92x = 286,146.75 × 146,447.64
  4. Step 4: Simplify right side
    191,662.92x = 41,905,516,231.17
  5. Step 5: Solve for x
    x = 41,905,516,231.17/191,662.92
  6. Step 6: Final answer
    x = 218,641.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.