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Finding the Fourth Proportional to 148,495.80, 204,921.72 and 83,964

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Solution

The fourth proportional to 148,495.80, 204,921.72 and 83,964 is: 115,868.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,495.80 : 204,921.72 = 83,964 : x
  2. Step 2: Convert to fraction form
    148,495.80/204,921.72 = 83,964/x
  3. Step 3: Cross multiply
    148,495.80x = 204,921.72 × 83,964
  4. Step 4: Simplify right side
    148,495.80x = 17,206,047,298.08
  5. Step 5: Solve for x
    x = 17,206,047,298.08/148,495.80
  6. Step 6: Final answer
    x = 115,868.92

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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.