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Finding the Fourth Proportional to 295,241.32, 442,075.74 and 154,705.96

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Solution

The fourth proportional to 295,241.32, 442,075.74 and 154,705.96 is: 231,646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,241.32 : 442,075.74 = 154,705.96 : x
  2. Step 2: Convert to fraction form
    295,241.32/442,075.74 = 154,705.96/x
  3. Step 3: Cross multiply
    295,241.32x = 442,075.74 × 154,705.96
  4. Step 4: Simplify right side
    295,241.32x = 68,391,751,749.41
  5. Step 5: Solve for x
    x = 68,391,751,749.41/295,241.32
  6. Step 6: Final answer
    x = 231,646.95

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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.