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Finding the Fourth Proportional to 186,257.84, 257,035.77 and 101,375.51

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Solution

The fourth proportional to 186,257.84, 257,035.77 and 101,375.51 is: 139,898.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,257.84 : 257,035.77 = 101,375.51 : x
  2. Step 2: Convert to fraction form
    186,257.84/257,035.77 = 101,375.51/x
  3. Step 3: Cross multiply
    186,257.84x = 257,035.77 × 101,375.51
  4. Step 4: Simplify right side
    186,257.84x = 26,057,130,986.81
  5. Step 5: Solve for x
    x = 26,057,130,986.81/186,257.84
  6. Step 6: Final answer
    x = 139,898.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.