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Finding the Fourth Proportional to 275,957.94, 413,590.63 and 118,000.65

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Solution

The fourth proportional to 275,957.94, 413,590.63 and 118,000.65 is: 176,852.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,957.94 : 413,590.63 = 118,000.65 : x
  2. Step 2: Convert to fraction form
    275,957.94/413,590.63 = 118,000.65/x
  3. Step 3: Cross multiply
    275,957.94x = 413,590.63 × 118,000.65
  4. Step 4: Simplify right side
    275,957.94x = 48,803,961,327.94
  5. Step 5: Solve for x
    x = 48,803,961,327.94/275,957.94
  6. Step 6: Final answer
    x = 176,852.90

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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.