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Finding the Fourth Proportional to 186,535.48, 279,742.74 and 61,843

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Solution

The fourth proportional to 186,535.48, 279,742.74 and 61,843 is: 92,744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,535.48 : 279,742.74 = 61,843 : x
  2. Step 2: Convert to fraction form
    186,535.48/279,742.74 = 61,843/x
  3. Step 3: Cross multiply
    186,535.48x = 279,742.74 × 61,843
  4. Step 4: Simplify right side
    186,535.48x = 17,300,130,269.82
  5. Step 5: Solve for x
    x = 17,300,130,269.82/186,535.48
  6. Step 6: Final answer
    x = 92,744.45

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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.