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Finding the Fourth Proportional to 195,124.56, 269,271 and 105,700.56

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Solution

The fourth proportional to 195,124.56, 269,271 and 105,700.56 is: 145,866.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,124.56 : 269,271 = 105,700.56 : x
  2. Step 2: Convert to fraction form
    195,124.56/269,271 = 105,700.56/x
  3. Step 3: Cross multiply
    195,124.56x = 269,271 × 105,700.56
  4. Step 4: Simplify right side
    195,124.56x = 28,462,095,491.76
  5. Step 5: Solve for x
    x = 28,462,095,491.76/195,124.56
  6. Step 6: Final answer
    x = 145,866.29

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