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Finding the Fourth Proportional to 185,173.14, 277,702.41 and 66,829.50

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Solution

The fourth proportional to 185,173.14, 277,702.41 and 66,829.50 is: 100,223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,173.14 : 277,702.41 = 66,829.50 : x
  2. Step 2: Convert to fraction form
    185,173.14/277,702.41 = 66,829.50/x
  3. Step 3: Cross multiply
    185,173.14x = 277,702.41 × 66,829.50
  4. Step 4: Simplify right side
    185,173.14x = 18,558,713,209.10
  5. Step 5: Solve for x
    x = 18,558,713,209.10/185,173.14
  6. Step 6: Final answer
    x = 100,223.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.