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Finding the Fourth Proportional to 102,269.52, 153,352.32 and 46,818

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Solution

The fourth proportional to 102,269.52, 153,352.32 and 46,818 is: 70,203.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,269.52 : 153,352.32 = 46,818 : x
  2. Step 2: Convert to fraction form
    102,269.52/153,352.32 = 46,818/x
  3. Step 3: Cross multiply
    102,269.52x = 153,352.32 × 46,818
  4. Step 4: Simplify right side
    102,269.52x = 7,179,648,917.76
  5. Step 5: Solve for x
    x = 7,179,648,917.76/102,269.52
  6. Step 6: Final answer
    x = 70,203.21

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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.