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Finding the Fourth Proportional to 116,362.32, 160,543.10 and 71,017.62

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Solution

The fourth proportional to 116,362.32, 160,543.10 and 71,017.62 is: 97,981.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,362.32 : 160,543.10 = 71,017.62 : x
  2. Step 2: Convert to fraction form
    116,362.32/160,543.10 = 71,017.62/x
  3. Step 3: Cross multiply
    116,362.32x = 160,543.10 × 71,017.62
  4. Step 4: Simplify right side
    116,362.32x = 11,401,388,869.42
  5. Step 5: Solve for x
    x = 11,401,388,869.42/116,362.32
  6. Step 6: Final answer
    x = 97,981.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.