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Finding the Fourth Proportional to 106,271.60, 159,426.60 and 53,548.40

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Solution

The fourth proportional to 106,271.60, 159,426.60 and 53,548.40 is: 80,332.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,271.60 : 159,426.60 = 53,548.40 : x
  2. Step 2: Convert to fraction form
    106,271.60/159,426.60 = 53,548.40/x
  3. Step 3: Cross multiply
    106,271.60x = 159,426.60 × 53,548.40
  4. Step 4: Simplify right side
    106,271.60x = 8,537,039,347.44
  5. Step 5: Solve for x
    x = 8,537,039,347.44/106,271.60
  6. Step 6: Final answer
    x = 80,332.27

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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.