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Finding the Fourth Proportional to 153,462.40, 230,157.14 and 58,657.77

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Solution

The fourth proportional to 153,462.40, 230,157.14 and 58,657.77 is: 87,972.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,462.40 : 230,157.14 = 58,657.77 : x
  2. Step 2: Convert to fraction form
    153,462.40/230,157.14 = 58,657.77/x
  3. Step 3: Cross multiply
    153,462.40x = 230,157.14 × 58,657.77
  4. Step 4: Simplify right side
    153,462.40x = 13,500,504,581.98
  5. Step 5: Solve for x
    x = 13,500,504,581.98/153,462.40
  6. Step 6: Final answer
    x = 87,972.72

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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.