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Finding the Fourth Proportional to 153,199.54, 229,797.59 and 59,770.90

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Solution

The fourth proportional to 153,199.54, 229,797.59 and 59,770.90 is: 89,655.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,199.54 : 229,797.59 = 59,770.90 : x
  2. Step 2: Convert to fraction form
    153,199.54/229,797.59 = 59,770.90/x
  3. Step 3: Cross multiply
    153,199.54x = 229,797.59 × 59,770.90
  4. Step 4: Simplify right side
    153,199.54x = 13,735,208,772.13
  5. Step 5: Solve for x
    x = 13,735,208,772.13/153,199.54
  6. Step 6: Final answer
    x = 89,655.68

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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.