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Finding the Fourth Proportional to 115,446, 159,317.94 and 63,762.84

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Solution

The fourth proportional to 115,446, 159,317.94 and 63,762.84 is: 87,994.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,446 : 159,317.94 = 63,762.84 : x
  2. Step 2: Convert to fraction form
    115,446/159,317.94 = 63,762.84/x
  3. Step 3: Cross multiply
    115,446x = 159,317.94 × 63,762.84
  4. Step 4: Simplify right side
    115,446x = 10,158,564,317.35
  5. Step 5: Solve for x
    x = 10,158,564,317.35/115,446
  6. Step 6: Final answer
    x = 87,994.08

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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.