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Finding the Fourth Proportional to 119,325.56, 164,669.86 and 65,614.02

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Solution

The fourth proportional to 119,325.56, 164,669.86 and 65,614.02 is: 90,547.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,325.56 : 164,669.86 = 65,614.02 : x
  2. Step 2: Convert to fraction form
    119,325.56/164,669.86 = 65,614.02/x
  3. Step 3: Cross multiply
    119,325.56x = 164,669.86 × 65,614.02
  4. Step 4: Simplify right side
    119,325.56x = 10,804,651,487.44
  5. Step 5: Solve for x
    x = 10,804,651,487.44/119,325.56
  6. Step 6: Final answer
    x = 90,547.67

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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.