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Finding the Fourth Proportional to 214,337.76, 295,785.60 and 118,842

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Solution

The fourth proportional to 214,337.76, 295,785.60 and 118,842 is: 164,001.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,337.76 : 295,785.60 = 118,842 : x
  2. Step 2: Convert to fraction form
    214,337.76/295,785.60 = 118,842/x
  3. Step 3: Cross multiply
    214,337.76x = 295,785.60 × 118,842
  4. Step 4: Simplify right side
    214,337.76x = 35,151,752,275.20
  5. Step 5: Solve for x
    x = 35,151,752,275.20/214,337.76
  6. Step 6: Final answer
    x = 164,001.68

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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.