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Finding the Fourth Proportional to 219,190.56, 302,482.44 and 123,696.96

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Solution

The fourth proportional to 219,190.56, 302,482.44 and 123,696.96 is: 170,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,190.56 : 302,482.44 = 123,696.96 : x
  2. Step 2: Convert to fraction form
    219,190.56/302,482.44 = 123,696.96/x
  3. Step 3: Cross multiply
    219,190.56x = 302,482.44 × 123,696.96
  4. Step 4: Simplify right side
    219,190.56x = 37,416,158,281.38
  5. Step 5: Solve for x
    x = 37,416,158,281.38/219,190.56
  6. Step 6: Final answer
    x = 170,701.50

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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.