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Finding the Fourth Proportional to 354,768.80, 532,095.66 and 101,991.69

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Solution

The fourth proportional to 354,768.80, 532,095.66 and 101,991.69 is: 152,971.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,768.80 : 532,095.66 = 101,991.69 : x
  2. Step 2: Convert to fraction form
    354,768.80/532,095.66 = 101,991.69/x
  3. Step 3: Cross multiply
    354,768.80x = 532,095.66 × 101,991.69
  4. Step 4: Simplify right side
    354,768.80x = 54,269,335,605.07
  5. Step 5: Solve for x
    x = 54,269,335,605.07/354,768.80
  6. Step 6: Final answer
    x = 152,971.00

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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.