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Finding the Fourth Proportional to 102,454.98, 153,645.50 and 43,295.22

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Solution

The fourth proportional to 102,454.98, 153,645.50 and 43,295.22 is: 64,927.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,454.98 : 153,645.50 = 43,295.22 : x
  2. Step 2: Convert to fraction form
    102,454.98/153,645.50 = 43,295.22/x
  3. Step 3: Cross multiply
    102,454.98x = 153,645.50 × 43,295.22
  4. Step 4: Simplify right side
    102,454.98x = 6,652,115,724.51
  5. Step 5: Solve for x
    x = 6,652,115,724.51/102,454.98
  6. Step 6: Final answer
    x = 64,927.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.