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Finding the Fourth Proportional to 242,221.96, 362,807.82 and 117,301

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Solution

The fourth proportional to 242,221.96, 362,807.82 and 117,301 is: 175,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,221.96 : 362,807.82 = 117,301 : x
  2. Step 2: Convert to fraction form
    242,221.96/362,807.82 = 117,301/x
  3. Step 3: Cross multiply
    242,221.96x = 362,807.82 × 117,301
  4. Step 4: Simplify right side
    242,221.96x = 42,557,720,093.82
  5. Step 5: Solve for x
    x = 42,557,720,093.82/242,221.96
  6. Step 6: Final answer
    x = 175,697.20

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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.