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Finding the Fourth Proportional to 145,862.80, 218,794.20 and 35,054.80

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Solution

The fourth proportional to 145,862.80, 218,794.20 and 35,054.80 is: 52,582.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,862.80 : 218,794.20 = 35,054.80 : x
  2. Step 2: Convert to fraction form
    145,862.80/218,794.20 = 35,054.80/x
  3. Step 3: Cross multiply
    145,862.80x = 218,794.20 × 35,054.80
  4. Step 4: Simplify right side
    145,862.80x = 7,669,786,922.16
  5. Step 5: Solve for x
    x = 7,669,786,922.16/145,862.80
  6. Step 6: Final answer
    x = 52,582.20

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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.