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Finding the Fourth Proportional to 201,428.88, 277,966.30 and 110,784.86

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Solution

The fourth proportional to 201,428.88, 277,966.30 and 110,784.86 is: 152,880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,428.88 : 277,966.30 = 110,784.86 : x
  2. Step 2: Convert to fraction form
    201,428.88/277,966.30 = 110,784.86/x
  3. Step 3: Cross multiply
    201,428.88x = 277,966.30 × 110,784.86
  4. Step 4: Simplify right side
    201,428.88x = 30,794,457,630.22
  5. Step 5: Solve for x
    x = 30,794,457,630.22/201,428.88
  6. Step 6: Final answer
    x = 152,880.05

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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.