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Finding the Fourth Proportional to 202,993.32, 280,128.70 and 112,349.46

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Solution

The fourth proportional to 202,993.32, 280,128.70 and 112,349.46 is: 155,041.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,993.32 : 280,128.70 = 112,349.46 : x
  2. Step 2: Convert to fraction form
    202,993.32/280,128.70 = 112,349.46/x
  3. Step 3: Cross multiply
    202,993.32x = 280,128.70 × 112,349.46
  4. Step 4: Simplify right side
    202,993.32x = 31,472,308,175.50
  5. Step 5: Solve for x
    x = 31,472,308,175.50/202,993.32
  6. Step 6: Final answer
    x = 155,041.10

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