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Finding the Fourth Proportional to 194,641.77, 291,948.08 and 54,411.33

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Solution

The fourth proportional to 194,641.77, 291,948.08 and 54,411.33 is: 81,612.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,641.77 : 291,948.08 = 54,411.33 : x
  2. Step 2: Convert to fraction form
    194,641.77/291,948.08 = 54,411.33/x
  3. Step 3: Cross multiply
    194,641.77x = 291,948.08 × 54,411.33
  4. Step 4: Simplify right side
    194,641.77x = 15,885,283,051.69
  5. Step 5: Solve for x
    x = 15,885,283,051.69/194,641.77
  6. Step 6: Final answer
    x = 81,612.92

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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.