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Finding the Fourth Proportional to 256,044.96, 384,124.32 and 98,273.52

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Solution

The fourth proportional to 256,044.96, 384,124.32 and 98,273.52 is: 147,432.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,044.96 : 384,124.32 = 98,273.52 : x
  2. Step 2: Convert to fraction form
    256,044.96/384,124.32 = 98,273.52/x
  3. Step 3: Cross multiply
    256,044.96x = 384,124.32 × 98,273.52
  4. Step 4: Simplify right side
    256,044.96x = 37,749,249,044.01
  5. Step 5: Solve for x
    x = 37,749,249,044.01/256,044.96
  6. Step 6: Final answer
    x = 147,432.11

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1.5x scale

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.