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Finding the Fourth Proportional to 107,253.32, 160,670.70 and 70,205

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Solution

The fourth proportional to 107,253.32, 160,670.70 and 70,205 is: 105,170.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,253.32 : 160,670.70 = 70,205 : x
  2. Step 2: Convert to fraction form
    107,253.32/160,670.70 = 70,205/x
  3. Step 3: Cross multiply
    107,253.32x = 160,670.70 × 70,205
  4. Step 4: Simplify right side
    107,253.32x = 11,279,886,493.50
  5. Step 5: Solve for x
    x = 11,279,886,493.50/107,253.32
  6. Step 6: Final answer
    x = 105,170.51

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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.