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Finding the Fourth Proportional to 214,527.92, 294,998.74 and 186,184.40

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Solution

The fourth proportional to 214,527.92, 294,998.74 and 186,184.40 is: 256,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,527.92 : 294,998.74 = 186,184.40 : x
  2. Step 2: Convert to fraction form
    214,527.92/294,998.74 = 186,184.40/x
  3. Step 3: Cross multiply
    214,527.92x = 294,998.74 × 186,184.40
  4. Step 4: Simplify right side
    214,527.92x = 54,924,163,407.66
  5. Step 5: Solve for x
    x = 54,924,163,407.66/214,527.92
  6. Step 6: Final answer
    x = 256,023.38

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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.