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Finding the Fourth Proportional to 201,702.36, 278,347.02 and 111,056.00

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Solution

The fourth proportional to 201,702.36, 278,347.02 and 111,056.00 is: 153,256.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,702.36 : 278,347.02 = 111,056.00 : x
  2. Step 2: Convert to fraction form
    201,702.36/278,347.02 = 111,056.00/x
  3. Step 3: Cross multiply
    201,702.36x = 278,347.02 × 111,056.00
  4. Step 4: Simplify right side
    201,702.36x = 30,912,105,261.38
  5. Step 5: Solve for x
    x = 30,912,105,261.38/201,702.36
  6. Step 6: Final answer
    x = 153,256.04

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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.