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Finding the Fourth Proportional to 144,969.60, 217,162.80 and 97,730.40

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Solution

The fourth proportional to 144,969.60, 217,162.80 and 97,730.40 is: 146,399.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,969.60 : 217,162.80 = 97,730.40 : x
  2. Step 2: Convert to fraction form
    144,969.60/217,162.80 = 97,730.40/x
  3. Step 3: Cross multiply
    144,969.60x = 217,162.80 × 97,730.40
  4. Step 4: Simplify right side
    144,969.60x = 21,223,407,309.12
  5. Step 5: Solve for x
    x = 21,223,407,309.12/144,969.60
  6. Step 6: Final answer
    x = 146,399.02

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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.