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Finding the Fourth Proportional to 83,297.45, 114,869.76 and 70,549.67

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Solution

The fourth proportional to 83,297.45, 114,869.76 and 70,549.67 is: 97,290.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,297.45 : 114,869.76 = 70,549.67 : x
  2. Step 2: Convert to fraction form
    83,297.45/114,869.76 = 70,549.67/x
  3. Step 3: Cross multiply
    83,297.45x = 114,869.76 × 70,549.67
  4. Step 4: Simplify right side
    83,297.45x = 8,104,023,660.98
  5. Step 5: Solve for x
    x = 8,104,023,660.98/83,297.45
  6. Step 6: Final answer
    x = 97,290.18

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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.