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Finding the Fourth Proportional to 189,094.40, 260,943.65 and 103,051.63

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Solution

The fourth proportional to 189,094.40, 260,943.65 and 103,051.63 is: 142,207.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,094.40 : 260,943.65 = 103,051.63 : x
  2. Step 2: Convert to fraction form
    189,094.40/260,943.65 = 103,051.63/x
  3. Step 3: Cross multiply
    189,094.40x = 260,943.65 × 103,051.63
  4. Step 4: Simplify right side
    189,094.40x = 26,890,668,590.90
  5. Step 5: Solve for x
    x = 26,890,668,590.90/189,094.40
  6. Step 6: Final answer
    x = 142,207.64

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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.