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Finding the Fourth Proportional to 153,605.70, 230,432.85 and 53,763.48

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Solution

The fourth proportional to 153,605.70, 230,432.85 and 53,763.48 is: 80,653.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,605.70 : 230,432.85 = 53,763.48 : x
  2. Step 2: Convert to fraction form
    153,605.70/230,432.85 = 53,763.48/x
  3. Step 3: Cross multiply
    153,605.70x = 230,432.85 × 53,763.48
  4. Step 4: Simplify right side
    153,605.70x = 12,388,871,922.32
  5. Step 5: Solve for x
    x = 12,388,871,922.32/153,605.70
  6. Step 6: Final answer
    x = 80,653.73

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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.