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Finding the Fourth Proportional to 78,057.60, 116,913.60 and 64,233.60

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Solution

The fourth proportional to 78,057.60, 116,913.60 and 64,233.60 is: 96,208.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,057.60 : 116,913.60 = 64,233.60 : x
  2. Step 2: Convert to fraction form
    78,057.60/116,913.60 = 64,233.60/x
  3. Step 3: Cross multiply
    78,057.60x = 116,913.60 × 64,233.60
  4. Step 4: Simplify right side
    78,057.60x = 7,509,781,416.96
  5. Step 5: Solve for x
    x = 7,509,781,416.96/78,057.60
  6. Step 6: Final answer
    x = 96,208.20

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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.