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Finding the Fourth Proportional to 186,328, 279,494.16 and 46,087.84

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Solution

The fourth proportional to 186,328, 279,494.16 and 46,087.84 is: 69,132.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,328 : 279,494.16 = 46,087.84 : x
  2. Step 2: Convert to fraction form
    186,328/279,494.16 = 46,087.84/x
  3. Step 3: Cross multiply
    186,328x = 279,494.16 × 46,087.84
  4. Step 4: Simplify right side
    186,328x = 12,881,282,127.01
  5. Step 5: Solve for x
    x = 12,881,282,127.01/186,328
  6. Step 6: Final answer
    x = 69,132.29

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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.