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Finding the Fourth Proportional to 201,114.12, 277,631.82 and 116,214.60

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Solution

The fourth proportional to 201,114.12, 277,631.82 and 116,214.60 is: 160,430.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,114.12 : 277,631.82 = 116,214.60 : x
  2. Step 2: Convert to fraction form
    201,114.12/277,631.82 = 116,214.60/x
  3. Step 3: Cross multiply
    201,114.12x = 277,631.82 × 116,214.60
  4. Step 4: Simplify right side
    201,114.12x = 32,264,870,908.57
  5. Step 5: Solve for x
    x = 32,264,870,908.57/201,114.12
  6. Step 6: Final answer
    x = 160,430.66

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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.