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Finding the Fourth Proportional to 202,924.40, 304,127.40 and 97,516.40

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Solution

The fourth proportional to 202,924.40, 304,127.40 and 97,516.40 is: 146,150.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,924.40 : 304,127.40 = 97,516.40 : x
  2. Step 2: Convert to fraction form
    202,924.40/304,127.40 = 97,516.40/x
  3. Step 3: Cross multiply
    202,924.40x = 304,127.40 × 97,516.40
  4. Step 4: Simplify right side
    202,924.40x = 29,657,409,189.36
  5. Step 5: Solve for x
    x = 29,657,409,189.36/202,924.40
  6. Step 6: Final answer
    x = 146,150.04

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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.