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Finding the Fourth Proportional to 233,387.16, 322,081.95 and 142,783.38

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Solution

The fourth proportional to 233,387.16, 322,081.95 and 142,783.38 is: 197,045.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,387.16 : 322,081.95 = 142,783.38 : x
  2. Step 2: Convert to fraction form
    233,387.16/322,081.95 = 142,783.38/x
  3. Step 3: Cross multiply
    233,387.16x = 322,081.95 × 142,783.38
  4. Step 4: Simplify right side
    233,387.16x = 45,987,949,457.99
  5. Step 5: Solve for x
    x = 45,987,949,457.99/233,387.16
  6. Step 6: Final answer
    x = 197,045.76

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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.