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Finding the Fourth Proportional to 186,389.64, 257,201.40 and 105,820.56

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Solution

The fourth proportional to 186,389.64, 257,201.40 and 105,820.56 is: 146,023.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,389.64 : 257,201.40 = 105,820.56 : x
  2. Step 2: Convert to fraction form
    186,389.64/257,201.40 = 105,820.56/x
  3. Step 3: Cross multiply
    186,389.64x = 257,201.40 × 105,820.56
  4. Step 4: Simplify right side
    186,389.64x = 27,217,196,180.78
  5. Step 5: Solve for x
    x = 27,217,196,180.78/186,389.64
  6. Step 6: Final answer
    x = 146,023.12

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1.5x scale

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.