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Finding the Fourth Proportional to 243,165.98, 335,567.77 and 141,216.50

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Solution

The fourth proportional to 243,165.98, 335,567.77 and 141,216.50 is: 194,878.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,165.98 : 335,567.77 = 141,216.50 : x
  2. Step 2: Convert to fraction form
    243,165.98/335,567.77 = 141,216.50/x
  3. Step 3: Cross multiply
    243,165.98x = 335,567.77 × 141,216.50
  4. Step 4: Simplify right side
    243,165.98x = 47,387,706,478.08
  5. Step 5: Solve for x
    x = 47,387,706,478.08/243,165.98
  6. Step 6: Final answer
    x = 194,878.03

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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.