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Finding the Fourth Proportional to 97,466.16, 146,211.84 and 34,281.84

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Solution

The fourth proportional to 97,466.16, 146,211.84 and 34,281.84 is: 51,427.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,466.16 : 146,211.84 = 34,281.84 : x
  2. Step 2: Convert to fraction form
    97,466.16/146,211.84 = 34,281.84/x
  3. Step 3: Cross multiply
    97,466.16x = 146,211.84 × 34,281.84
  4. Step 4: Simplify right side
    97,466.16x = 5,012,410,904.99
  5. Step 5: Solve for x
    x = 5,012,410,904.99/97,466.16
  6. Step 6: Final answer
    x = 51,427.19

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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.