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Finding the Fourth Proportional to 116,498, 174,702.60 and 41,604.16

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Solution

The fourth proportional to 116,498, 174,702.60 and 41,604.16 is: 62,390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,498 : 174,702.60 = 41,604.16 : x
  2. Step 2: Convert to fraction form
    116,498/174,702.60 = 41,604.16/x
  3. Step 3: Cross multiply
    116,498x = 174,702.60 × 41,604.16
  4. Step 4: Simplify right side
    116,498x = 7,268,354,922.82
  5. Step 5: Solve for x
    x = 7,268,354,922.82/116,498
  6. Step 6: Final answer
    x = 62,390.38

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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.