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Finding the Fourth Proportional to 141,058.74, 194,664.65 and 77,396.52

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Solution

The fourth proportional to 141,058.74, 194,664.65 and 77,396.52 is: 106,809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,058.74 : 194,664.65 = 77,396.52 : x
  2. Step 2: Convert to fraction form
    141,058.74/194,664.65 = 77,396.52/x
  3. Step 3: Cross multiply
    141,058.74x = 194,664.65 × 77,396.52
  4. Step 4: Simplify right side
    141,058.74x = 15,066,366,477.02
  5. Step 5: Solve for x
    x = 15,066,366,477.02/141,058.74
  6. Step 6: Final answer
    x = 106,809.17

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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.