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Finding the Fourth Proportional to 295,259.35, 442,223.16 and 137,155.09

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Solution

The fourth proportional to 295,259.35, 442,223.16 and 137,155.09 is: 205,423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,259.35 : 442,223.16 = 137,155.09 : x
  2. Step 2: Convert to fraction form
    295,259.35/442,223.16 = 137,155.09/x
  3. Step 3: Cross multiply
    295,259.35x = 442,223.16 × 137,155.09
  4. Step 4: Simplify right side
    295,259.35x = 60,653,157,309.88
  5. Step 5: Solve for x
    x = 60,653,157,309.88/295,259.35
  6. Step 6: Final answer
    x = 205,423.32

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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.