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Finding the Fourth Proportional to 193,477.95, 266,984.30 and 107,428.82

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Solution

The fourth proportional to 193,477.95, 266,984.30 and 107,428.82 is: 148,243.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,477.95 : 266,984.30 = 107,428.82 : x
  2. Step 2: Convert to fraction form
    193,477.95/266,984.30 = 107,428.82/x
  3. Step 3: Cross multiply
    193,477.95x = 266,984.30 × 107,428.82
  4. Step 4: Simplify right side
    193,477.95x = 28,681,807,241.18
  5. Step 5: Solve for x
    x = 28,681,807,241.18/193,477.95
  6. Step 6: Final answer
    x = 148,243.29

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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.