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Finding the Fourth Proportional to 195,089.50, 269,223.51 and 105,665.50

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Solution

The fourth proportional to 195,089.50, 269,223.51 and 105,665.50 is: 145,818.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,089.50 : 269,223.51 = 105,665.50 : x
  2. Step 2: Convert to fraction form
    195,089.50/269,223.51 = 105,665.50/x
  3. Step 3: Cross multiply
    195,089.50x = 269,223.51 × 105,665.50
  4. Step 4: Simplify right side
    195,089.50x = 28,447,636,795.91
  5. Step 5: Solve for x
    x = 28,447,636,795.91/195,089.50
  6. Step 6: Final answer
    x = 145,818.39

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1.5x scale

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.