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Finding the Fourth Proportional to 78,533.20, 109,713.20 and 78,533.20

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Solution

The fourth proportional to 78,533.20, 109,713.20 and 78,533.20 is: 109,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,533.20 : 109,713.20 = 78,533.20 : x
  2. Step 2: Convert to fraction form
    78,533.20/109,713.20 = 78,533.20/x
  3. Step 3: Cross multiply
    78,533.20x = 109,713.20 × 78,533.20
  4. Step 4: Simplify right side
    78,533.20x = 8,616,128,678.24
  5. Step 5: Solve for x
    x = 8,616,128,678.24/78,533.20
  6. Step 6: Final answer
    x = 109,713.20

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.