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Finding the Fourth Proportional to 106,115.94, 146,420.46 and 63,109.80

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Solution

The fourth proportional to 106,115.94, 146,420.46 and 63,109.80 is: 87,079.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,115.94 : 146,420.46 = 63,109.80 : x
  2. Step 2: Convert to fraction form
    106,115.94/146,420.46 = 63,109.80/x
  3. Step 3: Cross multiply
    106,115.94x = 146,420.46 × 63,109.80
  4. Step 4: Simplify right side
    106,115.94x = 9,240,565,946.51
  5. Step 5: Solve for x
    x = 9,240,565,946.51/106,115.94
  6. Step 6: Final answer
    x = 87,079.90

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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.