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Finding the Fourth Proportional to 165,970.66, 229,005.16 and 97,046.86

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Solution

The fourth proportional to 165,970.66, 229,005.16 and 97,046.86 is: 133,904.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,970.66 : 229,005.16 = 97,046.86 : x
  2. Step 2: Convert to fraction form
    165,970.66/229,005.16 = 97,046.86/x
  3. Step 3: Cross multiply
    165,970.66x = 229,005.16 × 97,046.86
  4. Step 4: Simplify right side
    165,970.66x = 22,224,231,701.80
  5. Step 5: Solve for x
    x = 22,224,231,701.80/165,970.66
  6. Step 6: Final answer
    x = 133,904.58

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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.