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Finding the Fourth Proportional to 186,232.72, 257,006.94 and 105,663.64

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Solution

The fourth proportional to 186,232.72, 257,006.94 and 105,663.64 is: 145,819.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,232.72 : 257,006.94 = 105,663.64 : x
  2. Step 2: Convert to fraction form
    186,232.72/257,006.94 = 105,663.64/x
  3. Step 3: Cross multiply
    186,232.72x = 257,006.94 × 105,663.64
  4. Step 4: Simplify right side
    186,232.72x = 27,156,288,785.66
  5. Step 5: Solve for x
    x = 27,156,288,785.66/186,232.72
  6. Step 6: Final answer
    x = 145,819.11

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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.