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Finding the Fourth Proportional to 155,416.28, 214,454.30 and 87,430.96

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Solution

The fourth proportional to 155,416.28, 214,454.30 and 87,430.96 is: 120,643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,416.28 : 214,454.30 = 87,430.96 : x
  2. Step 2: Convert to fraction form
    155,416.28/214,454.30 = 87,430.96/x
  3. Step 3: Cross multiply
    155,416.28x = 214,454.30 × 87,430.96
  4. Step 4: Simplify right side
    155,416.28x = 18,749,945,325.13
  5. Step 5: Solve for x
    x = 18,749,945,325.13/155,416.28
  6. Step 6: Final answer
    x = 120,643.38

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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.