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Finding the Fourth Proportional to 153,197.54, 229,794.59 and 59,768.90

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Solution

The fourth proportional to 153,197.54, 229,794.59 and 59,768.90 is: 89,652.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,197.54 : 229,794.59 = 59,768.90 : x
  2. Step 2: Convert to fraction form
    153,197.54/229,794.59 = 59,768.90/x
  3. Step 3: Cross multiply
    153,197.54x = 229,794.59 × 59,768.90
  4. Step 4: Simplify right side
    153,197.54x = 13,734,569,870.25
  5. Step 5: Solve for x
    x = 13,734,569,870.25/153,197.54
  6. Step 6: Final answer
    x = 89,652.68

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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.