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Finding the Fourth Proportional to 223,543.96, 308,436.66 and 141,842.42

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Solution

The fourth proportional to 223,543.96, 308,436.66 and 141,842.42 is: 195,708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,543.96 : 308,436.66 = 141,842.42 : x
  2. Step 2: Convert to fraction form
    223,543.96/308,436.66 = 141,842.42/x
  3. Step 3: Cross multiply
    223,543.96x = 308,436.66 × 141,842.42
  4. Step 4: Simplify right side
    223,543.96x = 43,749,402,271.12
  5. Step 5: Solve for x
    x = 43,749,402,271.12/223,543.96
  6. Step 6: Final answer
    x = 195,708.28

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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.