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Finding the Fourth Proportional to 153,635.86, 230,487.62 and 47,020.64

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Solution

The fourth proportional to 153,635.86, 230,487.62 and 47,020.64 is: 70,541.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,635.86 : 230,487.62 = 47,020.64 : x
  2. Step 2: Convert to fraction form
    153,635.86/230,487.62 = 47,020.64/x
  3. Step 3: Cross multiply
    153,635.86x = 230,487.62 × 47,020.64
  4. Step 4: Simplify right side
    153,635.86x = 10,837,675,404.48
  5. Step 5: Solve for x
    x = 10,837,675,404.48/153,635.86
  6. Step 6: Final answer
    x = 70,541.31

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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.