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Finding the Fourth Proportional to 188,666.34, 282,999.50 and 129,322.10

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Solution

The fourth proportional to 188,666.34, 282,999.50 and 129,322.10 is: 193,983.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,666.34 : 282,999.50 = 129,322.10 : x
  2. Step 2: Convert to fraction form
    188,666.34/282,999.50 = 129,322.10/x
  3. Step 3: Cross multiply
    188,666.34x = 282,999.50 × 129,322.10
  4. Step 4: Simplify right side
    188,666.34x = 36,598,088,223.95
  5. Step 5: Solve for x
    x = 36,598,088,223.95/188,666.34
  6. Step 6: Final answer
    x = 193,983.14

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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.