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Finding the Fourth Proportional to 114,190.71, 157,583.43 and 63,206.91

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Solution

The fourth proportional to 114,190.71, 157,583.43 and 63,206.91 is: 87,225.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,190.71 : 157,583.43 = 63,206.91 : x
  2. Step 2: Convert to fraction form
    114,190.71/157,583.43 = 63,206.91/x
  3. Step 3: Cross multiply
    114,190.71x = 157,583.43 × 63,206.91
  4. Step 4: Simplify right side
    114,190.71x = 9,960,361,677.50
  5. Step 5: Solve for x
    x = 9,960,361,677.50/114,190.71
  6. Step 6: Final answer
    x = 87,225.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.