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Finding the Fourth Proportional to 189,350.81, 261,302.63 and 103,308.53

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Solution

The fourth proportional to 189,350.81, 261,302.63 and 103,308.53 is: 142,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,350.81 : 261,302.63 = 103,308.53 : x
  2. Step 2: Convert to fraction form
    189,350.81/261,302.63 = 103,308.53/x
  3. Step 3: Cross multiply
    189,350.81x = 261,302.63 × 103,308.53
  4. Step 4: Simplify right side
    189,350.81x = 26,994,788,767.38
  5. Step 5: Solve for x
    x = 26,994,788,767.38/189,350.81
  6. Step 6: Final answer
    x = 142,564.95

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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.