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Finding the Fourth Proportional to 161,433.30, 242,117.55 and 77,193.30

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Solution

The fourth proportional to 161,433.30, 242,117.55 and 77,193.30 is: 115,774.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,433.30 : 242,117.55 = 77,193.30 : x
  2. Step 2: Convert to fraction form
    161,433.30/242,117.55 = 77,193.30/x
  3. Step 3: Cross multiply
    161,433.30x = 242,117.55 × 77,193.30
  4. Step 4: Simplify right side
    161,433.30x = 18,689,852,672.42
  5. Step 5: Solve for x
    x = 18,689,852,672.42/161,433.30
  6. Step 6: Final answer
    x = 115,774.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.