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Finding the Fourth Proportional to 263,577.53, 363,802.60 and 150,465.89

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Solution

The fourth proportional to 263,577.53, 363,802.60 and 150,465.89 is: 207,680.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,577.53 : 363,802.60 = 150,465.89 : x
  2. Step 2: Convert to fraction form
    263,577.53/363,802.60 = 150,465.89/x
  3. Step 3: Cross multiply
    263,577.53x = 363,802.60 × 150,465.89
  4. Step 4: Simplify right side
    263,577.53x = 54,739,881,993.31
  5. Step 5: Solve for x
    x = 54,739,881,993.31/263,577.53
  6. Step 6: Final answer
    x = 207,680.38

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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.