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Finding the Fourth Proportional to 242,026.20, 362,990.70 and 115,666.20

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Solution

The fourth proportional to 242,026.20, 362,990.70 and 115,666.20 is: 173,476.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,026.20 : 362,990.70 = 115,666.20 : x
  2. Step 2: Convert to fraction form
    242,026.20/362,990.70 = 115,666.20/x
  3. Step 3: Cross multiply
    242,026.20x = 362,990.70 × 115,666.20
  4. Step 4: Simplify right side
    242,026.20x = 41,985,754,904.34
  5. Step 5: Solve for x
    x = 41,985,754,904.34/242,026.20
  6. Step 6: Final answer
    x = 173,476.07

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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.