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Finding the Fourth Proportional to 243,341.76, 365,022.69 and 83,527.47

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Solution

The fourth proportional to 243,341.76, 365,022.69 and 83,527.47 is: 125,294.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,341.76 : 365,022.69 = 83,527.47 : x
  2. Step 2: Convert to fraction form
    243,341.76/365,022.69 = 83,527.47/x
  3. Step 3: Cross multiply
    243,341.76x = 365,022.69 × 83,527.47
  4. Step 4: Simplify right side
    243,341.76x = 30,489,421,788.29
  5. Step 5: Solve for x
    x = 30,489,421,788.29/243,341.76
  6. Step 6: Final answer
    x = 125,294.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.