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Finding the Fourth Proportional to 316,709.34, 475,080.30 and 80,054.04

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Solution

The fourth proportional to 316,709.34, 475,080.30 and 80,054.04 is: 120,085.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,709.34 : 475,080.30 = 80,054.04 : x
  2. Step 2: Convert to fraction form
    316,709.34/475,080.30 = 80,054.04/x
  3. Step 3: Cross multiply
    316,709.34x = 475,080.30 × 80,054.04
  4. Step 4: Simplify right side
    316,709.34x = 38,032,097,339.41
  5. Step 5: Solve for x
    x = 38,032,097,339.41/316,709.34
  6. Step 6: Final answer
    x = 120,085.18

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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.