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Finding the Fourth Proportional to 102,005.40, 153,053.46 and 52,059.12

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Solution

The fourth proportional to 102,005.40, 153,053.46 and 52,059.12 is: 78,111.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,005.40 : 153,053.46 = 52,059.12 : x
  2. Step 2: Convert to fraction form
    102,005.40/153,053.46 = 52,059.12/x
  3. Step 3: Cross multiply
    102,005.40x = 153,053.46 × 52,059.12
  4. Step 4: Simplify right side
    102,005.40x = 7,967,828,440.56
  5. Step 5: Solve for x
    x = 7,967,828,440.56/102,005.40
  6. Step 6: Final answer
    x = 78,111.83

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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.