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Finding the Fourth Proportional to 302,271.50, 417,137.10 and 168,135.50

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Solution

The fourth proportional to 302,271.50, 417,137.10 and 168,135.50 is: 232,028.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,271.50 : 417,137.10 = 168,135.50 : x
  2. Step 2: Convert to fraction form
    302,271.50/417,137.10 = 168,135.50/x
  3. Step 3: Cross multiply
    302,271.50x = 417,137.10 × 168,135.50
  4. Step 4: Simplify right side
    302,271.50x = 70,135,554,877.05
  5. Step 5: Solve for x
    x = 70,135,554,877.05/302,271.50
  6. Step 6: Final answer
    x = 232,028.34

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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.