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Finding the Fourth Proportional to 206,032.48, 309,154.19 and 98,084.01

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Solution

The fourth proportional to 206,032.48, 309,154.19 and 98,084.01 is: 147,176.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,032.48 : 309,154.19 = 98,084.01 : x
  2. Step 2: Convert to fraction form
    206,032.48/309,154.19 = 98,084.01/x
  3. Step 3: Cross multiply
    206,032.48x = 309,154.19 × 98,084.01
  4. Step 4: Simplify right side
    206,032.48x = 30,323,081,362.94
  5. Step 5: Solve for x
    x = 30,323,081,362.94/206,032.48
  6. Step 6: Final answer
    x = 147,176.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.