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Finding the Fourth Proportional to 145,514.80, 218,272.20 and 110,522.80

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Solution

The fourth proportional to 145,514.80, 218,272.20 and 110,522.80 is: 165,784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,514.80 : 218,272.20 = 110,522.80 : x
  2. Step 2: Convert to fraction form
    145,514.80/218,272.20 = 110,522.80/x
  3. Step 3: Cross multiply
    145,514.80x = 218,272.20 × 110,522.80
  4. Step 4: Simplify right side
    145,514.80x = 24,124,054,706.16
  5. Step 5: Solve for x
    x = 24,124,054,706.16/145,514.80
  6. Step 6: Final answer
    x = 165,784.20

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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.