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Finding the Fourth Proportional to 107,108.86, 160,707.36 and 47,106.46

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Solution

The fourth proportional to 107,108.86, 160,707.36 and 47,106.46 is: 70,679.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,108.86 : 160,707.36 = 47,106.46 : x
  2. Step 2: Convert to fraction form
    107,108.86/160,707.36 = 47,106.46/x
  3. Step 3: Cross multiply
    107,108.86x = 160,707.36 × 47,106.46
  4. Step 4: Simplify right side
    107,108.86x = 7,570,354,825.55
  5. Step 5: Solve for x
    x = 7,570,354,825.55/107,108.86
  6. Step 6: Final answer
    x = 70,679.07

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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.