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Finding the Fourth Proportional to 186,294.64, 257,086.56 and 101,412.40

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Solution

The fourth proportional to 186,294.64, 257,086.56 and 101,412.40 is: 139,949.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,294.64 : 257,086.56 = 101,412.40 : x
  2. Step 2: Convert to fraction form
    186,294.64/257,086.56 = 101,412.40/x
  3. Step 3: Cross multiply
    186,294.64x = 257,086.56 × 101,412.40
  4. Step 4: Simplify right side
    186,294.64x = 26,071,765,057.34
  5. Step 5: Solve for x
    x = 26,071,765,057.34/186,294.64
  6. Step 6: Final answer
    x = 139,949.09

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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.