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Finding the Fourth Proportional to 118,702.60, 178,082.70 and 83,710.60

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Solution

The fourth proportional to 118,702.60, 178,082.70 and 83,710.60 is: 125,586.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,702.60 : 178,082.70 = 83,710.60 : x
  2. Step 2: Convert to fraction form
    118,702.60/178,082.70 = 83,710.60/x
  3. Step 3: Cross multiply
    118,702.60x = 178,082.70 × 83,710.60
  4. Step 4: Simplify right side
    118,702.60x = 14,907,409,666.62
  5. Step 5: Solve for x
    x = 14,907,409,666.62/118,702.60
  6. Step 6: Final answer
    x = 125,586.21

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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.