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Finding the Fourth Proportional to 256,828.36, 354,510.59 and 149,488.58

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Solution

The fourth proportional to 256,828.36, 354,510.59 and 149,488.58 is: 206,345.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,828.36 : 354,510.59 = 149,488.58 : x
  2. Step 2: Convert to fraction form
    256,828.36/354,510.59 = 149,488.58/x
  3. Step 3: Cross multiply
    256,828.36x = 354,510.59 × 149,488.58
  4. Step 4: Simplify right side
    256,828.36x = 52,995,284,694.06
  5. Step 5: Solve for x
    x = 52,995,284,694.06/256,828.36
  6. Step 6: Final answer
    x = 206,345.14

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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.