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Finding the Fourth Proportional to 107,284.01, 148,017.71 and 61,956

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Solution

The fourth proportional to 107,284.01, 148,017.71 and 61,956 is: 85,479.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,284.01 : 148,017.71 = 61,956 : x
  2. Step 2: Convert to fraction form
    107,284.01/148,017.71 = 61,956/x
  3. Step 3: Cross multiply
    107,284.01x = 148,017.71 × 61,956
  4. Step 4: Simplify right side
    107,284.01x = 9,170,585,395.65
  5. Step 5: Solve for x
    x = 9,170,585,395.65/107,284.01
  6. Step 6: Final answer
    x = 85,479.52

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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.