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Finding the Fourth Proportional to 233,985.44, 322,878.36 and 143,300

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Solution

The fourth proportional to 233,985.44, 322,878.36 and 143,300 is: 197,740.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,985.44 : 322,878.36 = 143,300 : x
  2. Step 2: Convert to fraction form
    233,985.44/322,878.36 = 143,300/x
  3. Step 3: Cross multiply
    233,985.44x = 322,878.36 × 143,300
  4. Step 4: Simplify right side
    233,985.44x = 46,268,468,988
  5. Step 5: Solve for x
    x = 46,268,468,988/233,985.44
  6. Step 6: Final answer
    x = 197,740.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.