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Finding the Fourth Proportional to 186,668.28, 257,607.54 and 101,790

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Solution

The fourth proportional to 186,668.28, 257,607.54 and 101,790 is: 140,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,668.28 : 257,607.54 = 101,790 : x
  2. Step 2: Convert to fraction form
    186,668.28/257,607.54 = 101,790/x
  3. Step 3: Cross multiply
    186,668.28x = 257,607.54 × 101,790
  4. Step 4: Simplify right side
    186,668.28x = 26,221,871,496.60
  5. Step 5: Solve for x
    x = 26,221,871,496.60/186,668.28
  6. Step 6: Final answer
    x = 140,473.10

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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.