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Finding the Fourth Proportional to 115,758, 159,746.04 and 62,766

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Solution

The fourth proportional to 115,758, 159,746.04 and 62,766 is: 86,617.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,758 : 159,746.04 = 62,766 : x
  2. Step 2: Convert to fraction form
    115,758/159,746.04 = 62,766/x
  3. Step 3: Cross multiply
    115,758x = 159,746.04 × 62,766
  4. Step 4: Simplify right side
    115,758x = 10,026,619,946.64
  5. Step 5: Solve for x
    x = 10,026,619,946.64/115,758
  6. Step 6: Final answer
    x = 86,617.08

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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.