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Finding the Fourth Proportional to 119,338.32, 164,683.40 and 65,623.28

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Solution

The fourth proportional to 119,338.32, 164,683.40 and 65,623.28 is: 90,558.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,338.32 : 164,683.40 = 65,623.28 : x
  2. Step 2: Convert to fraction form
    119,338.32/164,683.40 = 65,623.28/x
  3. Step 3: Cross multiply
    119,338.32x = 164,683.40 × 65,623.28
  4. Step 4: Simplify right side
    119,338.32x = 10,807,064,869.55
  5. Step 5: Solve for x
    x = 10,807,064,869.55/119,338.32
  6. Step 6: Final answer
    x = 90,558.21

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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.