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Finding the Fourth Proportional to 233,312.64, 321,968.64 and 132,710.40

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Solution

The fourth proportional to 233,312.64, 321,968.64 and 132,710.40 is: 183,138.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,312.64 : 321,968.64 = 132,710.40 : x
  2. Step 2: Convert to fraction form
    233,312.64/321,968.64 = 132,710.40/x
  3. Step 3: Cross multiply
    233,312.64x = 321,968.64 × 132,710.40
  4. Step 4: Simplify right side
    233,312.64x = 42,728,587,001.86
  5. Step 5: Solve for x
    x = 42,728,587,001.86/233,312.64
  6. Step 6: Final answer
    x = 183,138.76

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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.