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Finding the Fourth Proportional to 102,007.60, 153,011.40 and 54,768.40

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Solution

The fourth proportional to 102,007.60, 153,011.40 and 54,768.40 is: 82,152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,007.60 : 153,011.40 = 54,768.40 : x
  2. Step 2: Convert to fraction form
    102,007.60/153,011.40 = 54,768.40/x
  3. Step 3: Cross multiply
    102,007.60x = 153,011.40 × 54,768.40
  4. Step 4: Simplify right side
    102,007.60x = 8,380,189,559.76
  5. Step 5: Solve for x
    x = 8,380,189,559.76/102,007.60
  6. Step 6: Final answer
    x = 82,152.60

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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.