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Finding the Fourth Proportional to 269,106.60, 403,314.30 and 163,813.80

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Solution

The fourth proportional to 269,106.60, 403,314.30 and 163,813.80 is: 245,510.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,106.60 : 403,314.30 = 163,813.80 : x
  2. Step 2: Convert to fraction form
    269,106.60/403,314.30 = 163,813.80/x
  3. Step 3: Cross multiply
    269,106.60x = 403,314.30 × 163,813.80
  4. Step 4: Simplify right side
    269,106.60x = 66,068,448,077.34
  5. Step 5: Solve for x
    x = 66,068,448,077.34/269,106.60
  6. Step 6: Final answer
    x = 245,510.32

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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.