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Finding the Fourth Proportional to 201,421.30, 277,939.60 and 116,522.50

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Solution

The fourth proportional to 201,421.30, 277,939.60 and 116,522.50 is: 160,788.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,421.30 : 277,939.60 = 116,522.50 : x
  2. Step 2: Convert to fraction form
    201,421.30/277,939.60 = 116,522.50/x
  3. Step 3: Cross multiply
    201,421.30x = 277,939.60 × 116,522.50
  4. Step 4: Simplify right side
    201,421.30x = 32,386,217,041.00
  5. Step 5: Solve for x
    x = 32,386,217,041.00/201,421.30
  6. Step 6: Final answer
    x = 160,788.44

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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.