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Finding the Fourth Proportional to 117,102, 175,675.20 and 46,986.84

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Solution

The fourth proportional to 117,102, 175,675.20 and 46,986.84 is: 70,489.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,102 : 175,675.20 = 46,986.84 : x
  2. Step 2: Convert to fraction form
    117,102/175,675.20 = 46,986.84/x
  3. Step 3: Cross multiply
    117,102x = 175,675.20 × 46,986.84
  4. Step 4: Simplify right side
    117,102x = 8,254,422,514.37
  5. Step 5: Solve for x
    x = 8,254,422,514.37/117,102
  6. Step 6: Final answer
    x = 70,489.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.