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Finding the Fourth Proportional to 119,160.63, 164,441.43 and 65,446.11

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Solution

The fourth proportional to 119,160.63, 164,441.43 and 65,446.11 is: 90,315.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,160.63 : 164,441.43 = 65,446.11 : x
  2. Step 2: Convert to fraction form
    119,160.63/164,441.43 = 65,446.11/x
  3. Step 3: Cross multiply
    119,160.63x = 164,441.43 × 65,446.11
  4. Step 4: Simplify right side
    119,160.63x = 10,762,051,916.34
  5. Step 5: Solve for x
    x = 10,762,051,916.34/119,160.63
  6. Step 6: Final answer
    x = 90,315.50

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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.