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Finding the Fourth Proportional to 202,544.64, 303,746.56 and 112,724.40

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Solution

The fourth proportional to 202,544.64, 303,746.56 and 112,724.40 is: 169,047.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,544.64 : 303,746.56 = 112,724.40 : x
  2. Step 2: Convert to fraction form
    202,544.64/303,746.56 = 112,724.40/x
  3. Step 3: Cross multiply
    202,544.64x = 303,746.56 × 112,724.40
  4. Step 4: Simplify right side
    202,544.64x = 34,239,648,728.06
  5. Step 5: Solve for x
    x = 34,239,648,728.06/202,544.64
  6. Step 6: Final answer
    x = 169,047.42

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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.