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Finding the Fourth Proportional to 190,624.59, 285,938.93 and 57,506.00

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Solution

The fourth proportional to 190,624.59, 285,938.93 and 57,506.00 is: 86,259.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,624.59 : 285,938.93 = 57,506.00 : x
  2. Step 2: Convert to fraction form
    190,624.59/285,938.93 = 57,506.00/x
  3. Step 3: Cross multiply
    190,624.59x = 285,938.93 × 57,506.00
  4. Step 4: Simplify right side
    190,624.59x = 16,443,202,391.36
  5. Step 5: Solve for x
    x = 16,443,202,391.36/190,624.59
  6. Step 6: Final answer
    x = 86,259.61

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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.