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Finding the Fourth Proportional to 243,307.14, 364,995.61 and 74,841.68

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Solution

The fourth proportional to 243,307.14, 364,995.61 and 74,841.68 is: 112,273.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,307.14 : 364,995.61 = 74,841.68 : x
  2. Step 2: Convert to fraction form
    243,307.14/364,995.61 = 74,841.68/x
  3. Step 3: Cross multiply
    243,307.14x = 364,995.61 × 74,841.68
  4. Step 4: Simplify right side
    243,307.14x = 27,316,883,919.64
  5. Step 5: Solve for x
    x = 27,316,883,919.64/243,307.14
  6. Step 6: Final answer
    x = 112,273.25

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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.