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Finding the Fourth Proportional to 154,465.17, 213,051.86 and 141,759.38

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Solution

The fourth proportional to 154,465.17, 213,051.86 and 141,759.38 is: 195,526.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,465.17 : 213,051.86 = 141,759.38 : x
  2. Step 2: Convert to fraction form
    154,465.17/213,051.86 = 141,759.38/x
  3. Step 3: Cross multiply
    154,465.17x = 213,051.86 × 141,759.38
  4. Step 4: Simplify right side
    154,465.17x = 30,202,099,581.45
  5. Step 5: Solve for x
    x = 30,202,099,581.45/154,465.17
  6. Step 6: Final answer
    x = 195,526.92

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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.