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Finding the Fourth Proportional to 113,291.52, 169,567.64 and 83,297.80

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Solution

The fourth proportional to 113,291.52, 169,567.64 and 83,297.80 is: 124,674.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,291.52 : 169,567.64 = 83,297.80 : x
  2. Step 2: Convert to fraction form
    113,291.52/169,567.64 = 83,297.80/x
  3. Step 3: Cross multiply
    113,291.52x = 169,567.64 × 83,297.80
  4. Step 4: Simplify right side
    113,291.52x = 14,124,611,363.19
  5. Step 5: Solve for x
    x = 14,124,611,363.19/113,291.52
  6. Step 6: Final answer
    x = 124,674.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.