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Finding the Fourth Proportional to 144,896.40, 217,344.60 and 97,657.20

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Solution

The fourth proportional to 144,896.40, 217,344.60 and 97,657.20 is: 146,485.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,896.40 : 217,344.60 = 97,657.20 : x
  2. Step 2: Convert to fraction form
    144,896.40/217,344.60 = 97,657.20/x
  3. Step 3: Cross multiply
    144,896.40x = 217,344.60 × 97,657.20
  4. Step 4: Simplify right side
    144,896.40x = 21,225,265,071.12
  5. Step 5: Solve for x
    x = 21,225,265,071.12/144,896.40
  6. Step 6: Final answer
    x = 146,485.80

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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.