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Finding the Fourth Proportional to 186,408, 257,267.34 and 110,956.50

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Solution

The fourth proportional to 186,408, 257,267.34 and 110,956.50 is: 153,134.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,408 : 257,267.34 = 110,956.50 : x
  2. Step 2: Convert to fraction form
    186,408/257,267.34 = 110,956.50/x
  3. Step 3: Cross multiply
    186,408x = 257,267.34 × 110,956.50
  4. Step 4: Simplify right side
    186,408x = 28,545,483,610.71
  5. Step 5: Solve for x
    x = 28,545,483,610.71/186,408
  6. Step 6: Final answer
    x = 153,134.43

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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.