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Finding the Fourth Proportional to 207,002.70, 310,504.05 and 146,868.30

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Solution

The fourth proportional to 207,002.70, 310,504.05 and 146,868.30 is: 220,302.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,002.70 : 310,504.05 = 146,868.30 : x
  2. Step 2: Convert to fraction form
    207,002.70/310,504.05 = 146,868.30/x
  3. Step 3: Cross multiply
    207,002.70x = 310,504.05 × 146,868.30
  4. Step 4: Simplify right side
    207,002.70x = 45,603,201,966.62
  5. Step 5: Solve for x
    x = 45,603,201,966.62/207,002.70
  6. Step 6: Final answer
    x = 220,302.45

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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.