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Finding the Fourth Proportional to 228,614.40, 343,142.93 and 110,368.71

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Solution

The fourth proportional to 228,614.40, 343,142.93 and 110,368.71 is: 165,659.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,614.40 : 343,142.93 = 110,368.71 : x
  2. Step 2: Convert to fraction form
    228,614.40/343,142.93 = 110,368.71/x
  3. Step 3: Cross multiply
    228,614.40x = 343,142.93 × 110,368.71
  4. Step 4: Simplify right side
    228,614.40x = 37,872,242,805.64
  5. Step 5: Solve for x
    x = 37,872,242,805.64/228,614.40
  6. Step 6: Final answer
    x = 165,659.92

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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.