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Finding the Fourth Proportional to 201,567.76, 278,156.52 and 110,915.24

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Solution

The fourth proportional to 201,567.76, 278,156.52 and 110,915.24 is: 153,059.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,567.76 : 278,156.52 = 110,915.24 : x
  2. Step 2: Convert to fraction form
    201,567.76/278,156.52 = 110,915.24/x
  3. Step 3: Cross multiply
    201,567.76x = 278,156.52 × 110,915.24
  4. Step 4: Simplify right side
    201,567.76x = 30,851,797,173.36
  5. Step 5: Solve for x
    x = 30,851,797,173.36/201,567.76
  6. Step 6: Final answer
    x = 153,059.19

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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.