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Finding the Fourth Proportional to 191,456.12, 287,242.74 and 98,027.96

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Solution

The fourth proportional to 191,456.12, 287,242.74 and 98,027.96 is: 147,071.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,456.12 : 287,242.74 = 98,027.96 : x
  2. Step 2: Convert to fraction form
    191,456.12/287,242.74 = 98,027.96/x
  3. Step 3: Cross multiply
    191,456.12x = 287,242.74 × 98,027.96
  4. Step 4: Simplify right side
    191,456.12x = 28,157,819,827.01
  5. Step 5: Solve for x
    x = 28,157,819,827.01/191,456.12
  6. Step 6: Final answer
    x = 147,071.92

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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.