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Finding the Fourth Proportional to 256,598.62, 384,913.76 and 98,827.22

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Solution

The fourth proportional to 256,598.62, 384,913.76 and 98,827.22 is: 148,246.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,598.62 : 384,913.76 = 98,827.22 : x
  2. Step 2: Convert to fraction form
    256,598.62/384,913.76 = 98,827.22/x
  3. Step 3: Cross multiply
    256,598.62x = 384,913.76 × 98,827.22
  4. Step 4: Simplify right side
    256,598.62x = 38,039,957,308.70
  5. Step 5: Solve for x
    x = 38,039,957,308.70/256,598.62
  6. Step 6: Final answer
    x = 148,246.93

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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.