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Finding the Fourth Proportional to 127,698.62, 191,547.81 and 34,201.82

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Solution

The fourth proportional to 127,698.62, 191,547.81 and 34,201.82 is: 51,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,698.62 : 191,547.81 = 34,201.82 : x
  2. Step 2: Convert to fraction form
    127,698.62/191,547.81 = 34,201.82/x
  3. Step 3: Cross multiply
    127,698.62x = 191,547.81 × 34,201.82
  4. Step 4: Simplify right side
    127,698.62x = 6,551,283,719.01
  5. Step 5: Solve for x
    x = 6,551,283,719.01/127,698.62
  6. Step 6: Final answer
    x = 51,302.70

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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.