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Finding the Fourth Proportional to 202,678.72, 304,084.64 and 97,483.84

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Solution

The fourth proportional to 202,678.72, 304,084.64 and 97,483.84 is: 146,257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,678.72 : 304,084.64 = 97,483.84 : x
  2. Step 2: Convert to fraction form
    202,678.72/304,084.64 = 97,483.84/x
  3. Step 3: Cross multiply
    202,678.72x = 304,084.64 × 97,483.84
  4. Step 4: Simplify right side
    202,678.72x = 29,643,338,392.22
  5. Step 5: Solve for x
    x = 29,643,338,392.22/202,678.72
  6. Step 6: Final answer
    x = 146,257.77

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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.