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Finding the Fourth Proportional to 243,148.41, 364,751.69 and 74,646.63

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Solution

The fourth proportional to 243,148.41, 364,751.69 and 74,646.63 is: 111,978.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,148.41 : 364,751.69 = 74,646.63 : x
  2. Step 2: Convert to fraction form
    243,148.41/364,751.69 = 74,646.63/x
  3. Step 3: Cross multiply
    243,148.41x = 364,751.69 × 74,646.63
  4. Step 4: Simplify right side
    243,148.41x = 27,227,484,072.07
  5. Step 5: Solve for x
    x = 27,227,484,072.07/243,148.41
  6. Step 6: Final answer
    x = 111,978.87

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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.