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Finding the Fourth Proportional to 107,175.53, 147,909.12 and 61,855.42

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Solution

The fourth proportional to 107,175.53, 147,909.12 and 61,855.42 is: 85,364.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,175.53 : 147,909.12 = 61,855.42 : x
  2. Step 2: Convert to fraction form
    107,175.53/147,909.12 = 61,855.42/x
  3. Step 3: Cross multiply
    107,175.53x = 147,909.12 × 61,855.42
  4. Step 4: Simplify right side
    107,175.53x = 9,148,980,430.15
  5. Step 5: Solve for x
    x = 9,148,980,430.15/107,175.53
  6. Step 6: Final answer
    x = 85,364.46

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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.