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Finding the Fourth Proportional to 233,653.12, 322,453.12 and 142,980.80

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Solution

The fourth proportional to 233,653.12, 322,453.12 and 142,980.80 is: 197,320.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,653.12 : 322,453.12 = 142,980.80 : x
  2. Step 2: Convert to fraction form
    233,653.12/322,453.12 = 142,980.80/x
  3. Step 3: Cross multiply
    233,653.12x = 322,453.12 × 142,980.80
  4. Step 4: Simplify right side
    233,653.12x = 46,104,605,060.10
  5. Step 5: Solve for x
    x = 46,104,605,060.10/233,653.12
  6. Step 6: Final answer
    x = 197,320.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.