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Finding the Fourth Proportional to 202,881.40, 304,322.10 and 177,949.60

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Solution

The fourth proportional to 202,881.40, 304,322.10 and 177,949.60 is: 266,924.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,881.40 : 304,322.10 = 177,949.60 : x
  2. Step 2: Convert to fraction form
    202,881.40/304,322.10 = 177,949.60/x
  3. Step 3: Cross multiply
    202,881.40x = 304,322.10 × 177,949.60
  4. Step 4: Simplify right side
    202,881.40x = 54,153,995,966.16
  5. Step 5: Solve for x
    x = 54,153,995,966.16/202,881.40
  6. Step 6: Final answer
    x = 266,924.40

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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.