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Finding the Fourth Proportional to 256,341.60, 384,541.20 and 78,847.20

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Solution

The fourth proportional to 256,341.60, 384,541.20 and 78,847.20 is: 118,279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,341.60 : 384,541.20 = 78,847.20 : x
  2. Step 2: Convert to fraction form
    256,341.60/384,541.20 = 78,847.20/x
  3. Step 3: Cross multiply
    256,341.60x = 384,541.20 × 78,847.20
  4. Step 4: Simplify right side
    256,341.60x = 30,319,996,904.64
  5. Step 5: Solve for x
    x = 30,319,996,904.64/256,341.60
  6. Step 6: Final answer
    x = 118,279.66

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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.