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Finding the Fourth Proportional to 213,809.47, 320,492.77 and 175,971.98

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Solution

The fourth proportional to 213,809.47, 320,492.77 and 175,971.98 is: 263,775.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,809.47 : 320,492.77 = 175,971.98 : x
  2. Step 2: Convert to fraction form
    213,809.47/320,492.77 = 175,971.98/x
  3. Step 3: Cross multiply
    213,809.47x = 320,492.77 × 175,971.98
  4. Step 4: Simplify right side
    213,809.47x = 56,397,747,673.89
  5. Step 5: Solve for x
    x = 56,397,747,673.89/213,809.47
  6. Step 6: Final answer
    x = 263,775.73

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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.