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Finding the Fourth Proportional to 242,603.83, 334,795.54 and 133,712.05

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Solution

The fourth proportional to 242,603.83, 334,795.54 and 133,712.05 is: 184,523.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,603.83 : 334,795.54 = 133,712.05 : x
  2. Step 2: Convert to fraction form
    242,603.83/334,795.54 = 133,712.05/x
  3. Step 3: Cross multiply
    242,603.83x = 334,795.54 × 133,712.05
  4. Step 4: Simplify right side
    242,603.83x = 44,766,197,984.26
  5. Step 5: Solve for x
    x = 44,766,197,984.26/242,603.83
  6. Step 6: Final answer
    x = 184,523.87

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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.