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Finding the Fourth Proportional to 189,095.40, 260,945.03 and 103,052.63

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Solution

The fourth proportional to 189,095.40, 260,945.03 and 103,052.63 is: 142,209.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,095.40 : 260,945.03 = 103,052.63 : x
  2. Step 2: Convert to fraction form
    189,095.40/260,945.03 = 103,052.63/x
  3. Step 3: Cross multiply
    189,095.40x = 260,945.03 × 103,052.63
  4. Step 4: Simplify right side
    189,095.40x = 26,891,071,626.93
  5. Step 5: Solve for x
    x = 26,891,071,626.93/189,095.40
  6. Step 6: Final answer
    x = 142,209.02

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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.