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Finding the Fourth Proportional to 186,432.84, 279,646.02 and 46,191

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Solution

The fourth proportional to 186,432.84, 279,646.02 and 46,191 is: 69,285.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,432.84 : 279,646.02 = 46,191 : x
  2. Step 2: Convert to fraction form
    186,432.84/279,646.02 = 46,191/x
  3. Step 3: Cross multiply
    186,432.84x = 279,646.02 × 46,191
  4. Step 4: Simplify right side
    186,432.84x = 12,917,129,309.82
  5. Step 5: Solve for x
    x = 12,917,129,309.82/186,432.84
  6. Step 6: Final answer
    x = 69,285.70

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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.