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Finding the Fourth Proportional to 201,683.70, 278,312.49 and 111,036.24

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Solution

The fourth proportional to 201,683.70, 278,312.49 and 111,036.24 is: 153,223.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,683.70 : 278,312.49 = 111,036.24 : x
  2. Step 2: Convert to fraction form
    201,683.70/278,312.49 = 111,036.24/x
  3. Step 3: Cross multiply
    201,683.70x = 278,312.49 × 111,036.24
  4. Step 4: Simplify right side
    201,683.70x = 30,902,772,434.64
  5. Step 5: Solve for x
    x = 30,902,772,434.64/201,683.70
  6. Step 6: Final answer
    x = 153,223.95

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1.5x scale

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.