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Finding the Fourth Proportional to 242,722.30, 364,083.45 and 163,407.10

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Solution

The fourth proportional to 242,722.30, 364,083.45 and 163,407.10 is: 245,110.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,722.30 : 364,083.45 = 163,407.10 : x
  2. Step 2: Convert to fraction form
    242,722.30/364,083.45 = 163,407.10/x
  3. Step 3: Cross multiply
    242,722.30x = 364,083.45 × 163,407.10
  4. Step 4: Simplify right side
    242,722.30x = 59,493,820,722.50
  5. Step 5: Solve for x
    x = 59,493,820,722.50/242,722.30
  6. Step 6: Final answer
    x = 245,110.65

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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.