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Finding the Fourth Proportional to 295,244.10, 442,866.15 and 82,011.60

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Solution

The fourth proportional to 295,244.10, 442,866.15 and 82,011.60 is: 123,017.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,244.10 : 442,866.15 = 82,011.60 : x
  2. Step 2: Convert to fraction form
    295,244.10/442,866.15 = 82,011.60/x
  3. Step 3: Cross multiply
    295,244.10x = 442,866.15 × 82,011.60
  4. Step 4: Simplify right side
    295,244.10x = 36,320,161,547.34
  5. Step 5: Solve for x
    x = 36,320,161,547.34/295,244.10
  6. Step 6: Final answer
    x = 123,017.40

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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.