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Finding the Fourth Proportional to 228,114.10, 342,164.01 and 94,991.02

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Solution

The fourth proportional to 228,114.10, 342,164.01 and 94,991.02 is: 142,483.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,114.10 : 342,164.01 = 94,991.02 : x
  2. Step 2: Convert to fraction form
    228,114.10/342,164.01 = 94,991.02/x
  3. Step 3: Cross multiply
    228,114.10x = 342,164.01 × 94,991.02
  4. Step 4: Simplify right side
    228,114.10x = 32,502,508,317.19
  5. Step 5: Solve for x
    x = 32,502,508,317.19/228,114.10
  6. Step 6: Final answer
    x = 142,483.56

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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.