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Finding the Fourth Proportional to 242,602.83, 334,794.16 and 133,711.05

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Solution

The fourth proportional to 242,602.83, 334,794.16 and 133,711.05 is: 184,522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,602.83 : 334,794.16 = 133,711.05 : x
  2. Step 2: Convert to fraction form
    242,602.83/334,794.16 = 133,711.05/x
  3. Step 3: Cross multiply
    242,602.83x = 334,794.16 × 133,711.05
  4. Step 4: Simplify right side
    242,602.83x = 44,765,680,090.08
  5. Step 5: Solve for x
    x = 44,765,680,090.08/242,602.83
  6. Step 6: Final answer
    x = 184,522.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.