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Finding the Fourth Proportional to 190,658.40, 285,989.22 and 48,503.80

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Solution

The fourth proportional to 190,658.40, 285,989.22 and 48,503.80 is: 72,756.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,658.40 : 285,989.22 = 48,503.80 : x
  2. Step 2: Convert to fraction form
    190,658.40/285,989.22 = 48,503.80/x
  3. Step 3: Cross multiply
    190,658.40x = 285,989.22 × 48,503.80
  4. Step 4: Simplify right side
    190,658.40x = 13,871,563,929.04
  5. Step 5: Solve for x
    x = 13,871,563,929.04/190,658.40
  6. Step 6: Final answer
    x = 72,756.11

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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.