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Finding the Fourth Proportional to 152,103.42, 209,832.93 and 98,405.89

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Solution

The fourth proportional to 152,103.42, 209,832.93 and 98,405.89 is: 135,754.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,103.42 : 209,832.93 = 98,405.89 : x
  2. Step 2: Convert to fraction form
    152,103.42/209,832.93 = 98,405.89/x
  3. Step 3: Cross multiply
    152,103.42x = 209,832.93 × 98,405.89
  4. Step 4: Simplify right side
    152,103.42x = 20,648,795,703.38
  5. Step 5: Solve for x
    x = 20,648,795,703.38/152,103.42
  6. Step 6: Final answer
    x = 135,754.97

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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.