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Finding the Fourth Proportional to 110,269, 165,393.64 and 35,368.80

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Solution

The fourth proportional to 110,269, 165,393.64 and 35,368.80 is: 53,050.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,269 : 165,393.64 = 35,368.80 : x
  2. Step 2: Convert to fraction form
    110,269/165,393.64 = 35,368.80/x
  3. Step 3: Cross multiply
    110,269x = 165,393.64 × 35,368.80
  4. Step 4: Simplify right side
    110,269x = 5,849,774,574.43
  5. Step 5: Solve for x
    x = 5,849,774,574.43/110,269
  6. Step 6: Final answer
    x = 53,050.04

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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.