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Finding the Fourth Proportional to 172,903.19, 259,354.80 and 46,543.73

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Solution

The fourth proportional to 172,903.19, 259,354.80 and 46,543.73 is: 69,815.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,903.19 : 259,354.80 = 46,543.73 : x
  2. Step 2: Convert to fraction form
    172,903.19/259,354.80 = 46,543.73/x
  3. Step 3: Cross multiply
    172,903.19x = 259,354.80 × 46,543.73
  4. Step 4: Simplify right side
    172,903.19x = 12,071,338,488.63
  5. Step 5: Solve for x
    x = 12,071,338,488.63/172,903.19
  6. Step 6: Final answer
    x = 69,815.59

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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.