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Finding the Fourth Proportional to 334,800.86, 502,072.76 and 142,553.40

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Solution

The fourth proportional to 334,800.86, 502,072.76 and 142,553.40 is: 213,775.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,800.86 : 502,072.76 = 142,553.40 : x
  2. Step 2: Convert to fraction form
    334,800.86/502,072.76 = 142,553.40/x
  3. Step 3: Cross multiply
    334,800.86x = 502,072.76 × 142,553.40
  4. Step 4: Simplify right side
    334,800.86x = 71,572,178,985.38
  5. Step 5: Solve for x
    x = 71,572,178,985.38/334,800.86
  6. Step 6: Final answer
    x = 213,775.37

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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.