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Finding the Fourth Proportional to 97,796.30, 146,366.40 and 97,796.30

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Solution

The fourth proportional to 97,796.30, 146,366.40 and 97,796.30 is: 146,366.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,796.30 : 146,366.40 = 97,796.30 : x
  2. Step 2: Convert to fraction form
    97,796.30/146,366.40 = 97,796.30/x
  3. Step 3: Cross multiply
    97,796.30x = 146,366.40 × 97,796.30
  4. Step 4: Simplify right side
    97,796.30x = 14,314,092,364.32
  5. Step 5: Solve for x
    x = 14,314,092,364.32/97,796.30
  6. Step 6: Final answer
    x = 146,366.40

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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.