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Finding the Fourth Proportional to 201,068.16, 277,452.80 and 116,212.16

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Solution

The fourth proportional to 201,068.16, 277,452.80 and 116,212.16 is: 160,360.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,068.16 : 277,452.80 = 116,212.16 : x
  2. Step 2: Convert to fraction form
    201,068.16/277,452.80 = 116,212.16/x
  3. Step 3: Cross multiply
    201,068.16x = 277,452.80 × 116,212.16
  4. Step 4: Simplify right side
    201,068.16x = 32,243,389,186.05
  5. Step 5: Solve for x
    x = 32,243,389,186.05/201,068.16
  6. Step 6: Final answer
    x = 160,360.49

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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.