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Finding the Fourth Proportional to 97,777.40, 134,932.86 and 53,065.40

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Solution

The fourth proportional to 97,777.40, 134,932.86 and 53,065.40 is: 73,230.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,777.40 : 134,932.86 = 53,065.40 : x
  2. Step 2: Convert to fraction form
    97,777.40/134,932.86 = 53,065.40/x
  3. Step 3: Cross multiply
    97,777.40x = 134,932.86 × 53,065.40
  4. Step 4: Simplify right side
    97,777.40x = 7,160,265,514.38
  5. Step 5: Solve for x
    x = 7,160,265,514.38/97,777.40
  6. Step 6: Final answer
    x = 73,230.27

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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.