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Finding the Fourth Proportional to 144,734.56, 199,802.10 and 97,019.08

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Solution

The fourth proportional to 144,734.56, 199,802.10 and 97,019.08 is: 133,932.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,734.56 : 199,802.10 = 97,019.08 : x
  2. Step 2: Convert to fraction form
    144,734.56/199,802.10 = 97,019.08/x
  3. Step 3: Cross multiply
    144,734.56x = 199,802.10 × 97,019.08
  4. Step 4: Simplify right side
    144,734.56x = 19,384,615,924.07
  5. Step 5: Solve for x
    x = 19,384,615,924.07/144,734.56
  6. Step 6: Final answer
    x = 133,932.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.