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Finding the Fourth Proportional to 256,689.22, 384,941.67 and 98,838.34

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Solution

The fourth proportional to 256,689.22, 384,941.67 and 98,838.34 is: 148,222.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,689.22 : 384,941.67 = 98,838.34 : x
  2. Step 2: Convert to fraction form
    256,689.22/384,941.67 = 98,838.34/x
  3. Step 3: Cross multiply
    256,689.22x = 384,941.67 × 98,838.34
  4. Step 4: Simplify right side
    256,689.22x = 38,046,995,659.63
  5. Step 5: Solve for x
    x = 38,046,995,659.63/256,689.22
  6. Step 6: Final answer
    x = 148,222.02

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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.