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Finding the Fourth Proportional to 154,702.65, 213,448.50 and 89,274.90

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Solution

The fourth proportional to 154,702.65, 213,448.50 and 89,274.90 is: 123,175.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,702.65 : 213,448.50 = 89,274.90 : x
  2. Step 2: Convert to fraction form
    154,702.65/213,448.50 = 89,274.90/x
  3. Step 3: Cross multiply
    154,702.65x = 213,448.50 × 89,274.90
  4. Step 4: Simplify right side
    154,702.65x = 19,055,593,492.65
  5. Step 5: Solve for x
    x = 19,055,593,492.65/154,702.65
  6. Step 6: Final answer
    x = 123,175.61

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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.