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Finding the Fourth Proportional to 275,341.94, 413,012.93 and 97,855.95

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Solution

The fourth proportional to 275,341.94, 413,012.93 and 97,855.95 is: 146,783.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,341.94 : 413,012.93 = 97,855.95 : x
  2. Step 2: Convert to fraction form
    275,341.94/413,012.93 = 97,855.95/x
  3. Step 3: Cross multiply
    275,341.94x = 413,012.93 × 97,855.95
  4. Step 4: Simplify right side
    275,341.94x = 40,415,772,138.15
  5. Step 5: Solve for x
    x = 40,415,772,138.15/275,341.94
  6. Step 6: Final answer
    x = 146,783.93

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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.