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Finding the Fourth Proportional to 121,055.94, 181,052.82 and 107,822.16

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Solution

The fourth proportional to 121,055.94, 181,052.82 and 107,822.16 is: 161,260.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,055.94 : 181,052.82 = 107,822.16 : x
  2. Step 2: Convert to fraction form
    121,055.94/181,052.82 = 107,822.16/x
  3. Step 3: Cross multiply
    121,055.94x = 181,052.82 × 107,822.16
  4. Step 4: Simplify right side
    121,055.94x = 19,521,506,126.49
  5. Step 5: Solve for x
    x = 19,521,506,126.49/121,055.94
  6. Step 6: Final answer
    x = 161,260.21

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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.