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Finding the Fourth Proportional to 261,792.80, 361,252.77 and 147,065.21

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Solution

The fourth proportional to 261,792.80, 361,252.77 and 147,065.21 is: 202,938.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,792.80 : 361,252.77 = 147,065.21 : x
  2. Step 2: Convert to fraction form
    261,792.80/361,252.77 = 147,065.21/x
  3. Step 3: Cross multiply
    261,792.80x = 361,252.77 × 147,065.21
  4. Step 4: Simplify right side
    261,792.80x = 53,127,714,483.13
  5. Step 5: Solve for x
    x = 53,127,714,483.13/261,792.80
  6. Step 6: Final answer
    x = 202,938.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.