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Finding the Fourth Proportional to 233,326.64, 321,987.96 and 132,724.40

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Solution

The fourth proportional to 233,326.64, 321,987.96 and 132,724.40 is: 183,158.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,326.64 : 321,987.96 = 132,724.40 : x
  2. Step 2: Convert to fraction form
    233,326.64/321,987.96 = 132,724.40/x
  3. Step 3: Cross multiply
    233,326.64x = 321,987.96 × 132,724.40
  4. Step 4: Simplify right side
    233,326.64x = 42,735,658,798.22
  5. Step 5: Solve for x
    x = 42,735,658,798.22/233,326.64
  6. Step 6: Final answer
    x = 183,158.08

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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.