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Finding the Fourth Proportional to 262,106.58, 361,705.20 and 148,929.34

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Solution

The fourth proportional to 262,106.58, 361,705.20 and 148,929.34 is: 205,521.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,106.58 : 361,705.20 = 148,929.34 : x
  2. Step 2: Convert to fraction form
    262,106.58/361,705.20 = 148,929.34/x
  3. Step 3: Cross multiply
    262,106.58x = 361,705.20 × 148,929.34
  4. Step 4: Simplify right side
    262,106.58x = 53,868,516,710.57
  5. Step 5: Solve for x
    x = 53,868,516,710.57/262,106.58
  6. Step 6: Final answer
    x = 205,521.42

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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.