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Finding the Fourth Proportional to 212,681.01, 319,053.22 and 75,893.46

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Solution

The fourth proportional to 212,681.01, 319,053.22 and 75,893.46 is: 113,851.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,681.01 : 319,053.22 = 75,893.46 : x
  2. Step 2: Convert to fraction form
    212,681.01/319,053.22 = 75,893.46/x
  3. Step 3: Cross multiply
    212,681.01x = 319,053.22 × 75,893.46
  4. Step 4: Simplify right side
    212,681.01x = 24,214,051,403.76
  5. Step 5: Solve for x
    x = 24,214,051,403.76/212,681.01
  6. Step 6: Final answer
    x = 113,851.50

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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.