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Finding the Fourth Proportional to 219,074.76, 302,326.62 and 123,583.32

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Solution

The fourth proportional to 219,074.76, 302,326.62 and 123,583.32 is: 170,546.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,074.76 : 302,326.62 = 123,583.32 : x
  2. Step 2: Convert to fraction form
    219,074.76/302,326.62 = 123,583.32/x
  3. Step 3: Cross multiply
    219,074.76x = 302,326.62 × 123,583.32
  4. Step 4: Simplify right side
    219,074.76x = 37,362,527,423.98
  5. Step 5: Solve for x
    x = 37,362,527,423.98/219,074.76
  6. Step 6: Final answer
    x = 170,546.93

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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.