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Finding the Fourth Proportional to 133,468.80, 200,203.20 and 102,364.80

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Solution

The fourth proportional to 133,468.80, 200,203.20 and 102,364.80 is: 153,547.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,468.80 : 200,203.20 = 102,364.80 : x
  2. Step 2: Convert to fraction form
    133,468.80/200,203.20 = 102,364.80/x
  3. Step 3: Cross multiply
    133,468.80x = 200,203.20 × 102,364.80
  4. Step 4: Simplify right side
    133,468.80x = 20,493,760,527.36
  5. Step 5: Solve for x
    x = 20,493,760,527.36/133,468.80
  6. Step 6: Final answer
    x = 153,547.20

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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.