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Finding the Fourth Proportional to 189,293.34, 283,994.76 and 61,206.90

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Solution

The fourth proportional to 189,293.34, 283,994.76 and 61,206.90 is: 91,828.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,293.34 : 283,994.76 = 61,206.90 : x
  2. Step 2: Convert to fraction form
    189,293.34/283,994.76 = 61,206.90/x
  3. Step 3: Cross multiply
    189,293.34x = 283,994.76 × 61,206.90
  4. Step 4: Simplify right side
    189,293.34x = 17,382,438,875.84
  5. Step 5: Solve for x
    x = 17,382,438,875.84/189,293.34
  6. Step 6: Final answer
    x = 91,828.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.