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Finding the Fourth Proportional to 155,333.66, 214,432.62 and 117,108.68

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Solution

The fourth proportional to 155,333.66, 214,432.62 and 117,108.68 is: 161,664.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,333.66 : 214,432.62 = 117,108.68 : x
  2. Step 2: Convert to fraction form
    155,333.66/214,432.62 = 117,108.68/x
  3. Step 3: Cross multiply
    155,333.66x = 214,432.62 × 117,108.68
  4. Step 4: Simplify right side
    155,333.66x = 25,111,921,077.14
  5. Step 5: Solve for x
    x = 25,111,921,077.14/155,333.66
  6. Step 6: Final answer
    x = 161,664.39

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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.