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Finding the Fourth Proportional to 102,252.56, 153,415.74 and 35,702.49

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Solution

The fourth proportional to 102,252.56, 153,415.74 and 35,702.49 is: 53,566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,252.56 : 153,415.74 = 35,702.49 : x
  2. Step 2: Convert to fraction form
    102,252.56/153,415.74 = 35,702.49/x
  3. Step 3: Cross multiply
    102,252.56x = 153,415.74 × 35,702.49
  4. Step 4: Simplify right side
    102,252.56x = 5,477,323,923.19
  5. Step 5: Solve for x
    x = 5,477,323,923.19/102,252.56
  6. Step 6: Final answer
    x = 53,566.62

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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.