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Finding the Fourth Proportional to 256,160.52, 384,259.23 and 98,388.95

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Solution

The fourth proportional to 256,160.52, 384,259.23 and 98,388.95 is: 147,590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,160.52 : 384,259.23 = 98,388.95 : x
  2. Step 2: Convert to fraction form
    256,160.52/384,259.23 = 98,388.95/x
  3. Step 3: Cross multiply
    256,160.52x = 384,259.23 × 98,388.95
  4. Step 4: Simplify right side
    256,160.52x = 37,806,860,246.21
  5. Step 5: Solve for x
    x = 37,806,860,246.21/256,160.52
  6. Step 6: Final answer
    x = 147,590.50

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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.