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Finding the Fourth Proportional to 181,071.92, 249,874.44 and 100,497.36

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Solution

The fourth proportional to 181,071.92, 249,874.44 and 100,497.36 is: 138,683.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,071.92 : 249,874.44 = 100,497.36 : x
  2. Step 2: Convert to fraction form
    181,071.92/249,874.44 = 100,497.36/x
  3. Step 3: Cross multiply
    181,071.92x = 249,874.44 × 100,497.36
  4. Step 4: Simplify right side
    181,071.92x = 25,111,721,551.48
  5. Step 5: Solve for x
    x = 25,111,721,551.48/181,071.92
  6. Step 6: Final answer
    x = 138,683.69

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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.