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Finding the Fourth Proportional to 200,768.40, 301,152.60 and 148,280.40

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Solution

The fourth proportional to 200,768.40, 301,152.60 and 148,280.40 is: 222,420.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,768.40 : 301,152.60 = 148,280.40 : x
  2. Step 2: Convert to fraction form
    200,768.40/301,152.60 = 148,280.40/x
  3. Step 3: Cross multiply
    200,768.40x = 301,152.60 × 148,280.40
  4. Step 4: Simplify right side
    200,768.40x = 44,655,027,989.04
  5. Step 5: Solve for x
    x = 44,655,027,989.04/200,768.40
  6. Step 6: Final answer
    x = 222,420.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.