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Finding the Fourth Proportional to 119,071.55, 164,318.16 and 65,357.48

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Solution

The fourth proportional to 119,071.55, 164,318.16 and 65,357.48 is: 90,193.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,071.55 : 164,318.16 = 65,357.48 : x
  2. Step 2: Convert to fraction form
    119,071.55/164,318.16 = 65,357.48/x
  3. Step 3: Cross multiply
    119,071.55x = 164,318.16 × 65,357.48
  4. Step 4: Simplify right side
    119,071.55x = 10,739,420,855.84
  5. Step 5: Solve for x
    x = 10,739,420,855.84/119,071.55
  6. Step 6: Final answer
    x = 90,193.00

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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.