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Finding the Fourth Proportional to 158,853.63, 219,267.21 and 102,265

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Solution

The fourth proportional to 158,853.63, 219,267.21 and 102,265 is: 141,157.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,853.63 : 219,267.21 = 102,265 : x
  2. Step 2: Convert to fraction form
    158,853.63/219,267.21 = 102,265/x
  3. Step 3: Cross multiply
    158,853.63x = 219,267.21 × 102,265
  4. Step 4: Simplify right side
    158,853.63x = 22,423,361,230.65
  5. Step 5: Solve for x
    x = 22,423,361,230.65/158,853.63
  6. Step 6: Final answer
    x = 141,157.37

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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.