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Finding the Fourth Proportional to 295,222.30, 442,942.80 and 95,549.20

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Solution

The fourth proportional to 295,222.30, 442,942.80 and 95,549.20 is: 143,359.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,222.30 : 442,942.80 = 95,549.20 : x
  2. Step 2: Convert to fraction form
    295,222.30/442,942.80 = 95,549.20/x
  3. Step 3: Cross multiply
    295,222.30x = 442,942.80 × 95,549.20
  4. Step 4: Simplify right side
    295,222.30x = 42,322,830,185.76
  5. Step 5: Solve for x
    x = 42,322,830,185.76/295,222.30
  6. Step 6: Final answer
    x = 143,359.19

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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.