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Finding the Fourth Proportional to 275,795.04, 413,590.38 and 98,254.92

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Solution

The fourth proportional to 275,795.04, 413,590.38 and 98,254.92 is: 147,345.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,795.04 : 413,590.38 = 98,254.92 : x
  2. Step 2: Convert to fraction form
    275,795.04/413,590.38 = 98,254.92/x
  3. Step 3: Cross multiply
    275,795.04x = 413,590.38 × 98,254.92
  4. Step 4: Simplify right side
    275,795.04x = 40,637,289,699.67
  5. Step 5: Solve for x
    x = 40,637,289,699.67/275,795.04
  6. Step 6: Final answer
    x = 147,345.98

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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.