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Finding the Fourth Proportional to 256,032.30, 384,048.45 and 89,820.30

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Solution

The fourth proportional to 256,032.30, 384,048.45 and 89,820.30 is: 134,730.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,032.30 : 384,048.45 = 89,820.30 : x
  2. Step 2: Convert to fraction form
    256,032.30/384,048.45 = 89,820.30/x
  3. Step 3: Cross multiply
    256,032.30x = 384,048.45 × 89,820.30
  4. Step 4: Simplify right side
    256,032.30x = 34,495,346,993.54
  5. Step 5: Solve for x
    x = 34,495,346,993.54/256,032.30
  6. Step 6: Final answer
    x = 134,730.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.