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Finding the Fourth Proportional to 242,436.66, 363,485.90 and 107,427.30

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Solution

The fourth proportional to 242,436.66, 363,485.90 and 107,427.30 is: 161,066.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,436.66 : 363,485.90 = 107,427.30 : x
  2. Step 2: Convert to fraction form
    242,436.66/363,485.90 = 107,427.30/x
  3. Step 3: Cross multiply
    242,436.66x = 363,485.90 × 107,427.30
  4. Step 4: Simplify right side
    242,436.66x = 39,048,308,825.07
  5. Step 5: Solve for x
    x = 39,048,308,825.07/242,436.66
  6. Step 6: Final answer
    x = 161,066.02

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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.