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Finding the Fourth Proportional to 585,225, 877,837.92 and 141,993

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Solution

The fourth proportional to 585,225, 877,837.92 and 141,993 is: 212,989.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,225 : 877,837.92 = 141,993 : x
  2. Step 2: Convert to fraction form
    585,225/877,837.92 = 141,993/x
  3. Step 3: Cross multiply
    585,225x = 877,837.92 × 141,993
  4. Step 4: Simplify right side
    585,225x = 124,646,839,774.56
  5. Step 5: Solve for x
    x = 124,646,839,774.56/585,225
  6. Step 6: Final answer
    x = 212,989.60

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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.