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Finding the Fourth Proportional to 157,281.63, 217,051.14 and 85,661.61

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Solution

The fourth proportional to 157,281.63, 217,051.14 and 85,661.61 is: 118,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,281.63 : 217,051.14 = 85,661.61 : x
  2. Step 2: Convert to fraction form
    157,281.63/217,051.14 = 85,661.61/x
  3. Step 3: Cross multiply
    157,281.63x = 217,051.14 × 85,661.61
  4. Step 4: Simplify right side
    157,281.63x = 18,592,950,104.74
  5. Step 5: Solve for x
    x = 18,592,950,104.74/157,281.63
  6. Step 6: Final answer
    x = 118,214.38

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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.