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Finding the Fourth Proportional to 213,492.46, 319,795.74 and 124,475.98

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Solution

The fourth proportional to 213,492.46, 319,795.74 and 124,475.98 is: 186,455.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,492.46 : 319,795.74 = 124,475.98 : x
  2. Step 2: Convert to fraction form
    213,492.46/319,795.74 = 124,475.98/x
  3. Step 3: Cross multiply
    213,492.46x = 319,795.74 × 124,475.98
  4. Step 4: Simplify right side
    213,492.46x = 39,806,888,136.33
  5. Step 5: Solve for x
    x = 39,806,888,136.33/213,492.46
  6. Step 6: Final answer
    x = 186,455.71

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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.