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Finding the Fourth Proportional to 209,527.86, 289,148.43 and 114,035.22

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Solution

The fourth proportional to 209,527.86, 289,148.43 and 114,035.22 is: 157,368.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,527.86 : 289,148.43 = 114,035.22 : x
  2. Step 2: Convert to fraction form
    209,527.86/289,148.43 = 114,035.22/x
  3. Step 3: Cross multiply
    209,527.86x = 289,148.43 × 114,035.22
  4. Step 4: Simplify right side
    209,527.86x = 32,973,104,827.70
  5. Step 5: Solve for x
    x = 32,973,104,827.70/209,527.86
  6. Step 6: Final answer
    x = 157,368.59

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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.