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Finding the Fourth Proportional to 212,409.89, 293,125.74 and 116,915.91

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Solution

The fourth proportional to 212,409.89, 293,125.74 and 116,915.91 is: 161,344.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,409.89 : 293,125.74 = 116,915.91 : x
  2. Step 2: Convert to fraction form
    212,409.89/293,125.74 = 116,915.91/x
  3. Step 3: Cross multiply
    212,409.89x = 293,125.74 × 116,915.91
  4. Step 4: Simplify right side
    212,409.89x = 34,271,061,098.87
  5. Step 5: Solve for x
    x = 34,271,061,098.87/212,409.89
  6. Step 6: Final answer
    x = 161,344.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.