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Finding the Fourth Proportional to 202,159.70, 302,838.60 and 177,227.90

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Solution

The fourth proportional to 202,159.70, 302,838.60 and 177,227.90 is: 265,490.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,159.70 : 302,838.60 = 177,227.90 : x
  2. Step 2: Convert to fraction form
    202,159.70/302,838.60 = 177,227.90/x
  3. Step 3: Cross multiply
    202,159.70x = 302,838.60 × 177,227.90
  4. Step 4: Simplify right side
    202,159.70x = 53,671,449,116.94
  5. Step 5: Solve for x
    x = 53,671,449,116.94/202,159.70
  6. Step 6: Final answer
    x = 265,490.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.