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Finding the Fourth Proportional to 209,876.00, 289,629.86 and 119,236.93

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Solution

The fourth proportional to 209,876.00, 289,629.86 and 119,236.93 is: 164,547.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,876.00 : 289,629.86 = 119,236.93 : x
  2. Step 2: Convert to fraction form
    209,876.00/289,629.86 = 119,236.93/x
  3. Step 3: Cross multiply
    209,876.00x = 289,629.86 × 119,236.93
  4. Step 4: Simplify right side
    209,876.00x = 34,534,574,022.47
  5. Step 5: Solve for x
    x = 34,534,574,022.47/209,876.00
  6. Step 6: Final answer
    x = 164,547.52

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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.