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Finding the Fourth Proportional to 119,321.32, 164,653.65 and 70,255.18

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Solution

The fourth proportional to 119,321.32, 164,653.65 and 70,255.18 is: 96,946.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,321.32 : 164,653.65 = 70,255.18 : x
  2. Step 2: Convert to fraction form
    119,321.32/164,653.65 = 70,255.18/x
  3. Step 3: Cross multiply
    119,321.32x = 164,653.65 × 70,255.18
  4. Step 4: Simplify right side
    119,321.32x = 11,567,771,818.41
  5. Step 5: Solve for x
    x = 11,567,771,818.41/119,321.32
  6. Step 6: Final answer
    x = 96,946.39

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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.