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Finding the Fourth Proportional to 295,018.75, 442,406.08 and 92,547.33

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Solution

The fourth proportional to 295,018.75, 442,406.08 and 92,547.33 is: 138,782.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,018.75 : 442,406.08 = 92,547.33 : x
  2. Step 2: Convert to fraction form
    295,018.75/442,406.08 = 92,547.33/x
  3. Step 3: Cross multiply
    295,018.75x = 442,406.08 × 92,547.33
  4. Step 4: Simplify right side
    295,018.75x = 40,943,501,479.77
  5. Step 5: Solve for x
    x = 40,943,501,479.77/295,018.75
  6. Step 6: Final answer
    x = 138,782.71

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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.