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Finding the Fourth Proportional to 295,201.80, 442,802.70 and 145,465.20

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Solution

The fourth proportional to 295,201.80, 442,802.70 and 145,465.20 is: 218,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,201.80 : 442,802.70 = 145,465.20 : x
  2. Step 2: Convert to fraction form
    295,201.80/442,802.70 = 145,465.20/x
  3. Step 3: Cross multiply
    295,201.80x = 442,802.70 × 145,465.20
  4. Step 4: Simplify right side
    295,201.80x = 64,412,383,316.04
  5. Step 5: Solve for x
    x = 64,412,383,316.04/295,201.80
  6. Step 6: Final answer
    x = 218,197.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.