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Finding the Fourth Proportional to 228,149.47, 342,282.53 and 94,985.47

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Solution

The fourth proportional to 228,149.47, 342,282.53 and 94,985.47 is: 142,502.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,149.47 : 342,282.53 = 94,985.47 : x
  2. Step 2: Convert to fraction form
    228,149.47/342,282.53 = 94,985.47/x
  3. Step 3: Cross multiply
    228,149.47x = 342,282.53 × 94,985.47
  4. Step 4: Simplify right side
    228,149.47x = 32,511,866,984.84
  5. Step 5: Solve for x
    x = 32,511,866,984.84/228,149.47
  6. Step 6: Final answer
    x = 142,502.49

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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.