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Finding the Fourth Proportional to 105,058.51, 157,468.32 and 92,383.43

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Solution

The fourth proportional to 105,058.51, 157,468.32 and 92,383.43 is: 138,470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,058.51 : 157,468.32 = 92,383.43 : x
  2. Step 2: Convert to fraction form
    105,058.51/157,468.32 = 92,383.43/x
  3. Step 3: Cross multiply
    105,058.51x = 157,468.32 × 92,383.43
  4. Step 4: Simplify right side
    105,058.51x = 14,547,463,517.94
  5. Step 5: Solve for x
    x = 14,547,463,517.94/105,058.51
  6. Step 6: Final answer
    x = 138,470.11

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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.