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Finding the Fourth Proportional to 262,048.84, 361,628.60 and 148,877.80

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Solution

The fourth proportional to 262,048.84, 361,628.60 and 148,877.80 is: 205,452.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,048.84 : 361,628.60 = 148,877.80 : x
  2. Step 2: Convert to fraction form
    262,048.84/361,628.60 = 148,877.80/x
  3. Step 3: Cross multiply
    262,048.84x = 361,628.60 × 148,877.80
  4. Step 4: Simplify right side
    262,048.84x = 53,838,470,385.08
  5. Step 5: Solve for x
    x = 53,838,470,385.08/262,048.84
  6. Step 6: Final answer
    x = 205,452.05

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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.