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Finding the Fourth Proportional to 189,092.84, 260,948.18 and 103,051.85

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Solution

The fourth proportional to 189,092.84, 260,948.18 and 103,051.85 is: 142,211.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,092.84 : 260,948.18 = 103,051.85 : x
  2. Step 2: Convert to fraction form
    189,092.84/260,948.18 = 103,051.85/x
  3. Step 3: Cross multiply
    189,092.84x = 260,948.18 × 103,051.85
  4. Step 4: Simplify right side
    189,092.84x = 26,891,191,656.02
  5. Step 5: Solve for x
    x = 26,891,191,656.02/189,092.84
  6. Step 6: Final answer
    x = 142,211.58

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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.