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Finding the Fourth Proportional to 189,465.80, 261,101.07 and 135,657.36

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Solution

The fourth proportional to 189,465.80, 261,101.07 and 135,657.36 is: 186,948.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,465.80 : 261,101.07 = 135,657.36 : x
  2. Step 2: Convert to fraction form
    189,465.80/261,101.07 = 135,657.36/x
  3. Step 3: Cross multiply
    189,465.80x = 261,101.07 × 135,657.36
  4. Step 4: Simplify right side
    189,465.80x = 35,420,281,849.38
  5. Step 5: Solve for x
    x = 35,420,281,849.38/189,465.80
  6. Step 6: Final answer
    x = 186,948.16

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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.