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Finding the Fourth Proportional to 177,697.40, 266,509.64 and 65,338.45

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Solution

The fourth proportional to 177,697.40, 266,509.64 and 65,338.45 is: 97,994.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,697.40 : 266,509.64 = 65,338.45 : x
  2. Step 2: Convert to fraction form
    177,697.40/266,509.64 = 65,338.45/x
  3. Step 3: Cross multiply
    177,697.40x = 266,509.64 × 65,338.45
  4. Step 4: Simplify right side
    177,697.40x = 17,413,326,284.73
  5. Step 5: Solve for x
    x = 17,413,326,284.73/177,697.40
  6. Step 6: Final answer
    x = 97,994.27

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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.