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Finding the Fourth Proportional to 201,105.32, 277,457.81 and 113,878.53

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Solution

The fourth proportional to 201,105.32, 277,457.81 and 113,878.53 is: 157,114.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,105.32 : 277,457.81 = 113,878.53 : x
  2. Step 2: Convert to fraction form
    201,105.32/277,457.81 = 113,878.53/x
  3. Step 3: Cross multiply
    201,105.32x = 277,457.81 × 113,878.53
  4. Step 4: Simplify right side
    201,105.32x = 31,596,486,970.43
  5. Step 5: Solve for x
    x = 31,596,486,970.43/201,105.32
  6. Step 6: Final answer
    x = 157,114.13

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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.