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Finding the Fourth Proportional to 190,904.70, 286,284.15 and 57,740.70

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Solution

The fourth proportional to 190,904.70, 286,284.15 and 57,740.70 is: 86,589.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,904.70 : 286,284.15 = 57,740.70 : x
  2. Step 2: Convert to fraction form
    190,904.70/286,284.15 = 57,740.70/x
  3. Step 3: Cross multiply
    190,904.70x = 286,284.15 × 57,740.70
  4. Step 4: Simplify right side
    190,904.70x = 16,530,247,219.91
  5. Step 5: Solve for x
    x = 16,530,247,219.91/190,904.70
  6. Step 6: Final answer
    x = 86,589.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.