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Finding the Fourth Proportional to 191,057.40, 285,905.70 and 166,368.60

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Solution

The fourth proportional to 191,057.40, 285,905.70 and 166,368.60 is: 248,960.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,057.40 : 285,905.70 = 166,368.60 : x
  2. Step 2: Convert to fraction form
    191,057.40/285,905.70 = 166,368.60/x
  3. Step 3: Cross multiply
    191,057.40x = 285,905.70 × 166,368.60
  4. Step 4: Simplify right side
    191,057.40x = 47,565,731,041.02
  5. Step 5: Solve for x
    x = 47,565,731,041.02/191,057.40
  6. Step 6: Final answer
    x = 248,960.42

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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.