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Finding the Fourth Proportional to 119,416, 164,700.80 and 74,068.56

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Solution

The fourth proportional to 119,416, 164,700.80 and 74,068.56 is: 102,156.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,416 : 164,700.80 = 74,068.56 : x
  2. Step 2: Convert to fraction form
    119,416/164,700.80 = 74,068.56/x
  3. Step 3: Cross multiply
    119,416x = 164,700.80 × 74,068.56
  4. Step 4: Simplify right side
    119,416x = 12,199,151,086.85
  5. Step 5: Solve for x
    x = 12,199,151,086.85/119,416
  6. Step 6: Final answer
    x = 102,156.76

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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.