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Finding the Fourth Proportional to 200,547.54, 300,823.74 and 67,427.28

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Solution

The fourth proportional to 200,547.54, 300,823.74 and 67,427.28 is: 101,141.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,547.54 : 300,823.74 = 67,427.28 : x
  2. Step 2: Convert to fraction form
    200,547.54/300,823.74 = 67,427.28/x
  3. Step 3: Cross multiply
    200,547.54x = 300,823.74 × 67,427.28
  4. Step 4: Simplify right side
    200,547.54x = 20,283,726,547.63
  5. Step 5: Solve for x
    x = 20,283,726,547.63/200,547.54
  6. Step 6: Final answer
    x = 101,141.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.