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Finding the Fourth Proportional to 233,106.80, 349,141.80 and 202,002.80

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Solution

The fourth proportional to 233,106.80, 349,141.80 and 202,002.80 is: 302,554.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,106.80 : 349,141.80 = 202,002.80 : x
  2. Step 2: Convert to fraction form
    233,106.80/349,141.80 = 202,002.80/x
  3. Step 3: Cross multiply
    233,106.80x = 349,141.80 × 202,002.80
  4. Step 4: Simplify right side
    233,106.80x = 70,527,621,197.04
  5. Step 5: Solve for x
    x = 70,527,621,197.04/233,106.80
  6. Step 6: Final answer
    x = 302,554.97

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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.