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Finding the Fourth Proportional to 242,841.24, 364,305.69 and 109,784.16

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Solution

The fourth proportional to 242,841.24, 364,305.69 and 109,784.16 is: 164,696.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,841.24 : 364,305.69 = 109,784.16 : x
  2. Step 2: Convert to fraction form
    242,841.24/364,305.69 = 109,784.16/x
  3. Step 3: Cross multiply
    242,841.24x = 364,305.69 × 109,784.16
  4. Step 4: Simplify right side
    242,841.24x = 39,994,994,159.87
  5. Step 5: Solve for x
    x = 39,994,994,159.87/242,841.24
  6. Step 6: Final answer
    x = 164,696.05

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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.