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Finding the Fourth Proportional to 295,681.10, 443,599.41 and 153,535.82

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Solution

The fourth proportional to 295,681.10, 443,599.41 and 153,535.82 is: 230,344.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,681.10 : 443,599.41 = 153,535.82 : x
  2. Step 2: Convert to fraction form
    295,681.10/443,599.41 = 153,535.82/x
  3. Step 3: Cross multiply
    295,681.10x = 443,599.41 × 153,535.82
  4. Step 4: Simplify right side
    295,681.10x = 68,108,399,165.87
  5. Step 5: Solve for x
    x = 68,108,399,165.87/295,681.10
  6. Step 6: Final answer
    x = 230,344.11

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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.