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Finding the Fourth Proportional to 97,777, 134,933.88 and 53,065

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Solution

The fourth proportional to 97,777, 134,933.88 and 53,065 is: 73,230.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,777 : 134,933.88 = 53,065 : x
  2. Step 2: Convert to fraction form
    97,777/134,933.88 = 53,065/x
  3. Step 3: Cross multiply
    97,777x = 134,933.88 × 53,065
  4. Step 4: Simplify right side
    97,777x = 7,160,266,342.20
  5. Step 5: Solve for x
    x = 7,160,266,342.20/97,777
  6. Step 6: Final answer
    x = 73,230.58

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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.