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Finding the Fourth Proportional to 180,046.95, 248,443.62 and 99,469.67

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Solution

The fourth proportional to 180,046.95, 248,443.62 and 99,469.67 is: 137,256.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,046.95 : 248,443.62 = 99,469.67 : x
  2. Step 2: Convert to fraction form
    180,046.95/248,443.62 = 99,469.67/x
  3. Step 3: Cross multiply
    180,046.95x = 248,443.62 × 99,469.67
  4. Step 4: Simplify right side
    180,046.95x = 24,712,604,817.15
  5. Step 5: Solve for x
    x = 24,712,604,817.15/180,046.95
  6. Step 6: Final answer
    x = 137,256.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.