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Finding the Fourth Proportional to 202,971.30, 304,456.95 and 78,312.30

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Solution

The fourth proportional to 202,971.30, 304,456.95 and 78,312.30 is: 117,468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,971.30 : 304,456.95 = 78,312.30 : x
  2. Step 2: Convert to fraction form
    202,971.30/304,456.95 = 78,312.30/x
  3. Step 3: Cross multiply
    202,971.30x = 304,456.95 × 78,312.30
  4. Step 4: Simplify right side
    202,971.30x = 23,842,724,005.49
  5. Step 5: Solve for x
    x = 23,842,724,005.49/202,971.30
  6. Step 6: Final answer
    x = 117,468.45

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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.