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Finding the Fourth Proportional to 85,020, 116,835.12 and 81,117.42

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Solution

The fourth proportional to 85,020, 116,835.12 and 81,117.42 is: 111,472.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,020 : 116,835.12 = 81,117.42 : x
  2. Step 2: Convert to fraction form
    85,020/116,835.12 = 81,117.42/x
  3. Step 3: Cross multiply
    85,020x = 116,835.12 × 81,117.42
  4. Step 4: Simplify right side
    85,020x = 9,477,363,499.79
  5. Step 5: Solve for x
    x = 9,477,363,499.79/85,020
  6. Step 6: Final answer
    x = 111,472.17

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.