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Finding the Fourth Proportional to 153,405.60, 230,014.44 and 59,802

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Solution

The fourth proportional to 153,405.60, 230,014.44 and 59,802 is: 89,666.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,405.60 : 230,014.44 = 59,802 : x
  2. Step 2: Convert to fraction form
    153,405.60/230,014.44 = 59,802/x
  3. Step 3: Cross multiply
    153,405.60x = 230,014.44 × 59,802
  4. Step 4: Simplify right side
    153,405.60x = 13,755,323,540.88
  5. Step 5: Solve for x
    x = 13,755,323,540.88/153,405.60
  6. Step 6: Final answer
    x = 89,666.37

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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.