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Finding the Fourth Proportional to 152,029.92, 228,041.04 and 41,219.04

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Solution

The fourth proportional to 152,029.92, 228,041.04 and 41,219.04 is: 61,827.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,029.92 : 228,041.04 = 41,219.04 : x
  2. Step 2: Convert to fraction form
    152,029.92/228,041.04 = 41,219.04/x
  3. Step 3: Cross multiply
    152,029.92x = 228,041.04 × 41,219.04
  4. Step 4: Simplify right side
    152,029.92x = 9,399,632,749.40
  5. Step 5: Solve for x
    x = 9,399,632,749.40/152,029.92
  6. Step 6: Final answer
    x = 61,827.52

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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.