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Finding the Fourth Proportional to 121,104.48, 181,394.16 and 58,644

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Solution

The fourth proportional to 121,104.48, 181,394.16 and 58,644 is: 87,838.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,104.48 : 181,394.16 = 58,644 : x
  2. Step 2: Convert to fraction form
    121,104.48/181,394.16 = 58,644/x
  3. Step 3: Cross multiply
    121,104.48x = 181,394.16 × 58,644
  4. Step 4: Simplify right side
    121,104.48x = 10,637,679,119.04
  5. Step 5: Solve for x
    x = 10,637,679,119.04/121,104.48
  6. Step 6: Final answer
    x = 87,838.86

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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.