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Finding the Fourth Proportional to 97,522.56, 146,480.64 and 58,156.80

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Solution

The fourth proportional to 97,522.56, 146,480.64 and 58,156.80 is: 87,352.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,522.56 : 146,480.64 = 58,156.80 : x
  2. Step 2: Convert to fraction form
    97,522.56/146,480.64 = 58,156.80/x
  3. Step 3: Cross multiply
    97,522.56x = 146,480.64 × 58,156.80
  4. Step 4: Simplify right side
    97,522.56x = 8,518,845,284.35
  5. Step 5: Solve for x
    x = 8,518,845,284.35/97,522.56
  6. Step 6: Final answer
    x = 87,352.56

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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.