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Finding the Fourth Proportional to 190,940.23, 286,424.19 and 57,830.87

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Solution

The fourth proportional to 190,940.23, 286,424.19 and 57,830.87 is: 86,750.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,940.23 : 286,424.19 = 57,830.87 : x
  2. Step 2: Convert to fraction form
    190,940.23/286,424.19 = 57,830.87/x
  3. Step 3: Cross multiply
    190,940.23x = 286,424.19 × 57,830.87
  4. Step 4: Simplify right side
    190,940.23x = 16,564,160,812.81
  5. Step 5: Solve for x
    x = 16,564,160,812.81/190,940.23
  6. Step 6: Final answer
    x = 86,750.50

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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.