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Finding the Fourth Proportional to 127,412.68, 175,835.46 and 70,825

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Solution

The fourth proportional to 127,412.68, 175,835.46 and 70,825 is: 97,741.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,412.68 : 175,835.46 = 70,825 : x
  2. Step 2: Convert to fraction form
    127,412.68/175,835.46 = 70,825/x
  3. Step 3: Cross multiply
    127,412.68x = 175,835.46 × 70,825
  4. Step 4: Simplify right side
    127,412.68x = 12,453,546,454.50
  5. Step 5: Solve for x
    x = 12,453,546,454.50/127,412.68
  6. Step 6: Final answer
    x = 97,741.81

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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.