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Finding the Fourth Proportional to 301,892.50, 452,810.99 and 102,190.06

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Solution

The fourth proportional to 301,892.50, 452,810.99 and 102,190.06 is: 153,275.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,892.50 : 452,810.99 = 102,190.06 : x
  2. Step 2: Convert to fraction form
    301,892.50/452,810.99 = 102,190.06/x
  3. Step 3: Cross multiply
    301,892.50x = 452,810.99 × 102,190.06
  4. Step 4: Simplify right side
    301,892.50x = 46,272,783,113.31
  5. Step 5: Solve for x
    x = 46,272,783,113.31/301,892.50
  6. Step 6: Final answer
    x = 153,275.69

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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.