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Finding the Fourth Proportional to 177,772.94, 245,341.80 and 101,315.42

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Solution

The fourth proportional to 177,772.94, 245,341.80 and 101,315.42 is: 139,823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,772.94 : 245,341.80 = 101,315.42 : x
  2. Step 2: Convert to fraction form
    177,772.94/245,341.80 = 101,315.42/x
  3. Step 3: Cross multiply
    177,772.94x = 245,341.80 × 101,315.42
  4. Step 4: Simplify right side
    177,772.94x = 24,856,907,510.56
  5. Step 5: Solve for x
    x = 24,856,907,510.56/177,772.94
  6. Step 6: Final answer
    x = 139,823.91

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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.