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Finding the Fourth Proportional to 219,482.80, 302,908.56 and 158,279.32

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Solution

The fourth proportional to 219,482.80, 302,908.56 and 158,279.32 is: 218,441.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,482.80 : 302,908.56 = 158,279.32 : x
  2. Step 2: Convert to fraction form
    219,482.80/302,908.56 = 158,279.32/x
  3. Step 3: Cross multiply
    219,482.80x = 302,908.56 × 158,279.32
  4. Step 4: Simplify right side
    219,482.80x = 47,944,160,898.98
  5. Step 5: Solve for x
    x = 47,944,160,898.98/219,482.80
  6. Step 6: Final answer
    x = 218,441.54

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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.