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Finding the Fourth Proportional to 107,866.74, 148,786.62 and 71,567.40

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Solution

The fourth proportional to 107,866.74, 148,786.62 and 71,567.40 is: 98,716.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,866.74 : 148,786.62 = 71,567.40 : x
  2. Step 2: Convert to fraction form
    107,866.74/148,786.62 = 71,567.40/x
  3. Step 3: Cross multiply
    107,866.74x = 148,786.62 × 71,567.40
  4. Step 4: Simplify right side
    107,866.74x = 10,648,271,548.19
  5. Step 5: Solve for x
    x = 10,648,271,548.19/107,866.74
  6. Step 6: Final answer
    x = 98,716.91

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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.