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Finding the Fourth Proportional to 201,210.50, 277,670.50 and 116,333.04

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Solution

The fourth proportional to 201,210.50, 277,670.50 and 116,333.04 is: 160,539.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,210.50 : 277,670.50 = 116,333.04 : x
  2. Step 2: Convert to fraction form
    201,210.50/277,670.50 = 116,333.04/x
  3. Step 3: Cross multiply
    201,210.50x = 277,670.50 × 116,333.04
  4. Step 4: Simplify right side
    201,210.50x = 32,302,253,383.32
  5. Step 5: Solve for x
    x = 32,302,253,383.32/201,210.50
  6. Step 6: Final answer
    x = 160,539.60

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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.