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Finding the Fourth Proportional to 233,289, 321,967.20 and 131,352.68

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Solution

The fourth proportional to 233,289, 321,967.20 and 131,352.68 is: 181,282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,289 : 321,967.20 = 131,352.68 : x
  2. Step 2: Convert to fraction form
    233,289/321,967.20 = 131,352.68/x
  3. Step 3: Cross multiply
    233,289x = 321,967.20 × 131,352.68
  4. Step 4: Simplify right side
    233,289x = 42,291,254,592.10
  5. Step 5: Solve for x
    x = 42,291,254,592.10/233,289
  6. Step 6: Final answer
    x = 181,282.68

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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.