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Finding the Fourth Proportional to 295,069.82, 442,377.87 and 152,762.54

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Solution

The fourth proportional to 295,069.82, 442,377.87 and 152,762.54 is: 229,026.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,069.82 : 442,377.87 = 152,762.54 : x
  2. Step 2: Convert to fraction form
    295,069.82/442,377.87 = 152,762.54/x
  3. Step 3: Cross multiply
    295,069.82x = 442,377.87 × 152,762.54
  4. Step 4: Simplify right side
    295,069.82x = 67,578,767,060.99
  5. Step 5: Solve for x
    x = 67,578,767,060.99/295,069.82
  6. Step 6: Final answer
    x = 229,026.36

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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.