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Finding the Fourth Proportional to 201,329.16, 277,827.15 and 110,684.46

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Solution

The fourth proportional to 201,329.16, 277,827.15 and 110,684.46 is: 152,740.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,329.16 : 277,827.15 = 110,684.46 : x
  2. Step 2: Convert to fraction form
    201,329.16/277,827.15 = 110,684.46/x
  3. Step 3: Cross multiply
    201,329.16x = 277,827.15 × 110,684.46
  4. Step 4: Simplify right side
    201,329.16x = 30,751,149,528.01
  5. Step 5: Solve for x
    x = 30,751,149,528.01/201,329.16
  6. Step 6: Final answer
    x = 152,740.67

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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.