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Finding the Fourth Proportional to 220,072, 303,703.04 and 119,470

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Solution

The fourth proportional to 220,072, 303,703.04 and 119,470 is: 164,870.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,072 : 303,703.04 = 119,470 : x
  2. Step 2: Convert to fraction form
    220,072/303,703.04 = 119,470/x
  3. Step 3: Cross multiply
    220,072x = 303,703.04 × 119,470
  4. Step 4: Simplify right side
    220,072x = 36,283,402,188.80
  5. Step 5: Solve for x
    x = 36,283,402,188.80/220,072
  6. Step 6: Final answer
    x = 164,870.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.