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Finding the Fourth Proportional to 119,047.79, 164,285.45 and 65,333.69

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Solution

The fourth proportional to 119,047.79, 164,285.45 and 65,333.69 is: 90,160.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,047.79 : 164,285.45 = 65,333.69 : x
  2. Step 2: Convert to fraction form
    119,047.79/164,285.45 = 65,333.69/x
  3. Step 3: Cross multiply
    119,047.79x = 164,285.45 × 65,333.69
  4. Step 4: Simplify right side
    119,047.79x = 10,733,373,513.71
  5. Step 5: Solve for x
    x = 10,733,373,513.71/119,047.79
  6. Step 6: Final answer
    x = 90,160.21

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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.