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Finding the Fourth Proportional to 115,881.84, 159,905.88 and 92,066.16

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Solution

The fourth proportional to 115,881.84, 159,905.88 and 92,066.16 is: 127,042.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,881.84 : 159,905.88 = 92,066.16 : x
  2. Step 2: Convert to fraction form
    115,881.84/159,905.88 = 92,066.16/x
  3. Step 3: Cross multiply
    115,881.84x = 159,905.88 × 92,066.16
  4. Step 4: Simplify right side
    115,881.84x = 14,721,920,333.02
  5. Step 5: Solve for x
    x = 14,721,920,333.02/115,881.84
  6. Step 6: Final answer
    x = 127,042.51

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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.