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Finding the Fourth Proportional to 194,671.32, 291,866.79 and 119,636.46

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Solution

The fourth proportional to 194,671.32, 291,866.79 and 119,636.46 is: 179,368.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,671.32 : 291,866.79 = 119,636.46 : x
  2. Step 2: Convert to fraction form
    194,671.32/291,866.79 = 119,636.46/x
  3. Step 3: Cross multiply
    194,671.32x = 291,866.79 × 119,636.46
  4. Step 4: Simplify right side
    194,671.32x = 34,917,909,547.16
  5. Step 5: Solve for x
    x = 34,917,909,547.16/194,671.32
  6. Step 6: Final answer
    x = 179,368.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.