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Finding the Fourth Proportional to 351,351, 527,041.08 and 102,033

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Solution

The fourth proportional to 351,351, 527,041.08 and 102,033 is: 153,053.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,351 : 527,041.08 = 102,033 : x
  2. Step 2: Convert to fraction form
    351,351/527,041.08 = 102,033/x
  3. Step 3: Cross multiply
    351,351x = 527,041.08 × 102,033
  4. Step 4: Simplify right side
    351,351x = 53,775,582,515.64
  5. Step 5: Solve for x
    x = 53,775,582,515.64/351,351
  6. Step 6: Final answer
    x = 153,053.73

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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.