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Finding the Fourth Proportional to 304,871.84, 457,123.08 and 136,360.75

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Solution

The fourth proportional to 304,871.84, 457,123.08 and 136,360.75 is: 204,458.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,871.84 : 457,123.08 = 136,360.75 : x
  2. Step 2: Convert to fraction form
    304,871.84/457,123.08 = 136,360.75/x
  3. Step 3: Cross multiply
    304,871.84x = 457,123.08 × 136,360.75
  4. Step 4: Simplify right side
    304,871.84x = 62,333,646,031.11
  5. Step 5: Solve for x
    x = 62,333,646,031.11/304,871.84
  6. Step 6: Final answer
    x = 204,458.52

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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.