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Finding the Fourth Proportional to 271,415.94, 406,994.52 and 121,657.50

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Solution

The fourth proportional to 271,415.94, 406,994.52 and 121,657.50 is: 182,428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,415.94 : 406,994.52 = 121,657.50 : x
  2. Step 2: Convert to fraction form
    271,415.94/406,994.52 = 121,657.50/x
  3. Step 3: Cross multiply
    271,415.94x = 406,994.52 × 121,657.50
  4. Step 4: Simplify right side
    271,415.94x = 49,513,935,816.90
  5. Step 5: Solve for x
    x = 49,513,935,816.90/271,415.94
  6. Step 6: Final answer
    x = 182,428.25

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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.