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Finding the Fourth Proportional to 233,970.48, 322,740.72 and 143,367.12

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Solution

The fourth proportional to 233,970.48, 322,740.72 and 143,367.12 is: 197,761.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,970.48 : 322,740.72 = 143,367.12 : x
  2. Step 2: Convert to fraction form
    233,970.48/322,740.72 = 143,367.12/x
  3. Step 3: Cross multiply
    233,970.48x = 322,740.72 × 143,367.12
  4. Step 4: Simplify right side
    233,970.48x = 46,270,407,533.13
  5. Step 5: Solve for x
    x = 46,270,407,533.13/233,970.48
  6. Step 6: Final answer
    x = 197,761.73

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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.