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Finding the Fourth Proportional to 219,569.82, 303,006.55 and 118,967.82

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Solution

The fourth proportional to 219,569.82, 303,006.55 and 118,967.82 is: 164,175.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,569.82 : 303,006.55 = 118,967.82 : x
  2. Step 2: Convert to fraction form
    219,569.82/303,006.55 = 118,967.82/x
  3. Step 3: Cross multiply
    219,569.82x = 303,006.55 × 118,967.82
  4. Step 4: Simplify right side
    219,569.82x = 36,048,028,699.22
  5. Step 5: Solve for x
    x = 36,048,028,699.22/219,569.82
  6. Step 6: Final answer
    x = 164,175.70

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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.