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Finding the Fourth Proportional to 189,966.50, 262,154.04 and 105,089.30

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Solution

The fourth proportional to 189,966.50, 262,154.04 and 105,089.30 is: 145,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,966.50 : 262,154.04 = 105,089.30 : x
  2. Step 2: Convert to fraction form
    189,966.50/262,154.04 = 105,089.30/x
  3. Step 3: Cross multiply
    189,966.50x = 262,154.04 × 105,089.30
  4. Step 4: Simplify right side
    189,966.50x = 27,549,584,555.77
  5. Step 5: Solve for x
    x = 27,549,584,555.77/189,966.50
  6. Step 6: Final answer
    x = 145,023.38

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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.