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Finding the Fourth Proportional to 202,297.60, 303,640.80 and 102,570.40

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Solution

The fourth proportional to 202,297.60, 303,640.80 and 102,570.40 is: 153,954.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,297.60 : 303,640.80 = 102,570.40 : x
  2. Step 2: Convert to fraction form
    202,297.60/303,640.80 = 102,570.40/x
  3. Step 3: Cross multiply
    202,297.60x = 303,640.80 × 102,570.40
  4. Step 4: Simplify right side
    202,297.60x = 31,144,558,312.32
  5. Step 5: Solve for x
    x = 31,144,558,312.32/202,297.60
  6. Step 6: Final answer
    x = 153,954.17

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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.