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Finding the Fourth Proportional to 219,131.16, 302,415.24 and 123,603

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Solution

The fourth proportional to 219,131.16, 302,415.24 and 123,603 is: 170,580.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,131.16 : 302,415.24 = 123,603 : x
  2. Step 2: Convert to fraction form
    219,131.16/302,415.24 = 123,603/x
  3. Step 3: Cross multiply
    219,131.16x = 302,415.24 × 123,603
  4. Step 4: Simplify right side
    219,131.16x = 37,379,430,909.72
  5. Step 5: Solve for x
    x = 37,379,430,909.72/219,131.16
  6. Step 6: Final answer
    x = 170,580.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.