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Finding the Fourth Proportional to 289,357.38, 434,065.01 and 99,792.79

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Solution

The fourth proportional to 289,357.38, 434,065.01 and 99,792.79 is: 149,699.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,357.38 : 434,065.01 = 99,792.79 : x
  2. Step 2: Convert to fraction form
    289,357.38/434,065.01 = 99,792.79/x
  3. Step 3: Cross multiply
    289,357.38x = 434,065.01 × 99,792.79
  4. Step 4: Simplify right side
    289,357.38x = 43,316,556,805.15
  5. Step 5: Solve for x
    x = 43,316,556,805.15/289,357.38
  6. Step 6: Final answer
    x = 149,699.16

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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.