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Finding the Fourth Proportional to 201,426.30, 277,946.48 and 116,527.50

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Solution

The fourth proportional to 201,426.30, 277,946.48 and 116,527.50 is: 160,795.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,426.30 : 277,946.48 = 116,527.50 : x
  2. Step 2: Convert to fraction form
    201,426.30/277,946.48 = 116,527.50/x
  3. Step 3: Cross multiply
    201,426.30x = 277,946.48 × 116,527.50
  4. Step 4: Simplify right side
    201,426.30x = 32,388,408,448.20
  5. Step 5: Solve for x
    x = 32,388,408,448.20/201,426.30
  6. Step 6: Final answer
    x = 160,795.33

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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.