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Finding the Fourth Proportional to 261,323.12, 360,780.50 and 164,609.88

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Solution

The fourth proportional to 261,323.12, 360,780.50 and 164,609.88 is: 227,259.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,323.12 : 360,780.50 = 164,609.88 : x
  2. Step 2: Convert to fraction form
    261,323.12/360,780.50 = 164,609.88/x
  3. Step 3: Cross multiply
    261,323.12x = 360,780.50 × 164,609.88
  4. Step 4: Simplify right side
    261,323.12x = 59,388,034,811.34
  5. Step 5: Solve for x
    x = 59,388,034,811.34/261,323.12
  6. Step 6: Final answer
    x = 227,259.01

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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.