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Finding the Fourth Proportional to 190,829.70, 286,014.15 and 97,287.30

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Solution

The fourth proportional to 190,829.70, 286,014.15 and 97,287.30 is: 145,813.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,829.70 : 286,014.15 = 97,287.30 : x
  2. Step 2: Convert to fraction form
    190,829.70/286,014.15 = 97,287.30/x
  3. Step 3: Cross multiply
    190,829.70x = 286,014.15 × 97,287.30
  4. Step 4: Simplify right side
    190,829.70x = 27,825,544,415.30
  5. Step 5: Solve for x
    x = 27,825,544,415.30/190,829.70
  6. Step 6: Final answer
    x = 145,813.49

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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.