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Finding the Fourth Proportional to 216,905.69, 299,326.92 and 121,412.36

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Solution

The fourth proportional to 216,905.69, 299,326.92 and 121,412.36 is: 167,547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,905.69 : 299,326.92 = 121,412.36 : x
  2. Step 2: Convert to fraction form
    216,905.69/299,326.92 = 121,412.36/x
  3. Step 3: Cross multiply
    216,905.69x = 299,326.92 × 121,412.36
  4. Step 4: Simplify right side
    216,905.69x = 36,341,987,768.73
  5. Step 5: Solve for x
    x = 36,341,987,768.73/216,905.69
  6. Step 6: Final answer
    x = 167,547.42

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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.