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Finding the Fourth Proportional to 119,613.95, 164,956.37 and 87,297.38

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Solution

The fourth proportional to 119,613.95, 164,956.37 and 87,297.38 is: 120,389.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,613.95 : 164,956.37 = 87,297.38 : x
  2. Step 2: Convert to fraction form
    119,613.95/164,956.37 = 87,297.38/x
  3. Step 3: Cross multiply
    119,613.95x = 164,956.37 × 87,297.38
  4. Step 4: Simplify right side
    119,613.95x = 14,400,257,981.41
  5. Step 5: Solve for x
    x = 14,400,257,981.41/119,613.95
  6. Step 6: Final answer
    x = 120,389.46

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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.