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Finding the Fourth Proportional to 186,393.16, 257,225.52 and 105,819.04

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Solution

The fourth proportional to 186,393.16, 257,225.52 and 105,819.04 is: 146,031.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,393.16 : 257,225.52 = 105,819.04 : x
  2. Step 2: Convert to fraction form
    186,393.16/257,225.52 = 105,819.04/x
  3. Step 3: Cross multiply
    186,393.16x = 257,225.52 × 105,819.04
  4. Step 4: Simplify right side
    186,393.16x = 27,219,357,589.90
  5. Step 5: Solve for x
    x = 27,219,357,589.90/186,393.16
  6. Step 6: Final answer
    x = 146,031.96

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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.