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Finding the Fourth Proportional to 219,285.99, 302,597.78 and 123,802.11

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Solution

The fourth proportional to 219,285.99, 302,597.78 and 123,802.11 is: 170,837.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,285.99 : 302,597.78 = 123,802.11 : x
  2. Step 2: Convert to fraction form
    219,285.99/302,597.78 = 123,802.11/x
  3. Step 3: Cross multiply
    219,285.99x = 302,597.78 × 123,802.11
  4. Step 4: Simplify right side
    219,285.99x = 37,462,243,026.31
  5. Step 5: Solve for x
    x = 37,462,243,026.31/219,285.99
  6. Step 6: Final answer
    x = 170,837.38

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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.