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Finding the Fourth Proportional to 106,739.52, 147,300.30 and 69,013.50

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Solution

The fourth proportional to 106,739.52, 147,300.30 and 69,013.50 is: 95,238.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,739.52 : 147,300.30 = 69,013.50 : x
  2. Step 2: Convert to fraction form
    106,739.52/147,300.30 = 69,013.50/x
  3. Step 3: Cross multiply
    106,739.52x = 147,300.30 × 69,013.50
  4. Step 4: Simplify right side
    106,739.52x = 10,165,709,254.05
  5. Step 5: Solve for x
    x = 10,165,709,254.05/106,739.52
  6. Step 6: Final answer
    x = 95,238.48

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1.5x scale

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.