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Finding the Fourth Proportional to 190,506.70, 285,931.37 and 101,836

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Solution

The fourth proportional to 190,506.70, 285,931.37 and 101,836 is: 152,845.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,506.70 : 285,931.37 = 101,836 : x
  2. Step 2: Convert to fraction form
    190,506.70/285,931.37 = 101,836/x
  3. Step 3: Cross multiply
    190,506.70x = 285,931.37 × 101,836
  4. Step 4: Simplify right side
    190,506.70x = 29,118,106,486.14
  5. Step 5: Solve for x
    x = 29,118,106,486.14/190,506.70
  6. Step 6: Final answer
    x = 152,845.58

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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.