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Finding the Fourth Proportional to 233,833.66, 322,693.41 and 141,926.35

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Solution

The fourth proportional to 233,833.66, 322,693.41 and 141,926.35 is: 195,860.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,833.66 : 322,693.41 = 141,926.35 : x
  2. Step 2: Convert to fraction form
    233,833.66/322,693.41 = 141,926.35/x
  3. Step 3: Cross multiply
    233,833.66x = 322,693.41 × 141,926.35
  4. Step 4: Simplify right side
    233,833.66x = 45,798,698,090.55
  5. Step 5: Solve for x
    x = 45,798,698,090.55/233,833.66
  6. Step 6: Final answer
    x = 195,860.16

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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.