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Finding the Fourth Proportional to 134,821, 186,052.98 and 75,205

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Solution

The fourth proportional to 134,821, 186,052.98 and 75,205 is: 103,782.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,821 : 186,052.98 = 75,205 : x
  2. Step 2: Convert to fraction form
    134,821/186,052.98 = 75,205/x
  3. Step 3: Cross multiply
    134,821x = 186,052.98 × 75,205
  4. Step 4: Simplify right side
    134,821x = 13,992,114,360.90
  5. Step 5: Solve for x
    x = 13,992,114,360.90/134,821
  6. Step 6: Final answer
    x = 103,782.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.