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Finding the Fourth Proportional to 233,140.56, 349,205.40 and 144,416.40

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Solution

The fourth proportional to 233,140.56, 349,205.40 and 144,416.40 is: 216,311.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,140.56 : 349,205.40 = 144,416.40 : x
  2. Step 2: Convert to fraction form
    233,140.56/349,205.40 = 144,416.40/x
  3. Step 3: Cross multiply
    233,140.56x = 349,205.40 × 144,416.40
  4. Step 4: Simplify right side
    233,140.56x = 50,430,986,728.56
  5. Step 5: Solve for x
    x = 50,430,986,728.56/233,140.56
  6. Step 6: Final answer
    x = 216,311.51

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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.