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Finding the Fourth Proportional to 242,798.72, 364,241.15 and 74,315.32

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Solution

The fourth proportional to 242,798.72, 364,241.15 and 74,315.32 is: 111,486.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,798.72 : 364,241.15 = 74,315.32 : x
  2. Step 2: Convert to fraction form
    242,798.72/364,241.15 = 74,315.32/x
  3. Step 3: Cross multiply
    242,798.72x = 364,241.15 × 74,315.32
  4. Step 4: Simplify right side
    242,798.72x = 27,068,697,619.42
  5. Step 5: Solve for x
    x = 27,068,697,619.42/242,798.72
  6. Step 6: Final answer
    x = 111,486.16

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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.