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Finding the Fourth Proportional to 202,894.72, 304,393.98 and 118,725.76

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Solution

The fourth proportional to 202,894.72, 304,393.98 and 118,725.76 is: 178,119.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,894.72 : 304,393.98 = 118,725.76 : x
  2. Step 2: Convert to fraction form
    202,894.72/304,393.98 = 118,725.76/x
  3. Step 3: Cross multiply
    202,894.72x = 304,393.98 × 118,725.76
  4. Step 4: Simplify right side
    202,894.72x = 36,139,406,614.92
  5. Step 5: Solve for x
    x = 36,139,406,614.92/202,894.72
  6. Step 6: Final answer
    x = 178,119.01

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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.