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Finding the Fourth Proportional to 164,802.33, 227,426.27 and 89,349.21

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Solution

The fourth proportional to 164,802.33, 227,426.27 and 89,349.21 is: 123,301.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,802.33 : 227,426.27 = 89,349.21 : x
  2. Step 2: Convert to fraction form
    164,802.33/227,426.27 = 89,349.21/x
  3. Step 3: Cross multiply
    164,802.33x = 227,426.27 × 89,349.21
  4. Step 4: Simplify right side
    164,802.33x = 20,320,357,111.00
  5. Step 5: Solve for x
    x = 20,320,357,111.00/164,802.33
  6. Step 6: Final answer
    x = 123,301.39

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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.