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Finding the Fourth Proportional to 152,576.40, 210,567.90 and 84,614.72

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Solution

The fourth proportional to 152,576.40, 210,567.90 and 84,614.72 is: 116,775.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,576.40 : 210,567.90 = 84,614.72 : x
  2. Step 2: Convert to fraction form
    152,576.40/210,567.90 = 84,614.72/x
  3. Step 3: Cross multiply
    152,576.40x = 210,567.90 × 84,614.72
  4. Step 4: Simplify right side
    152,576.40x = 17,817,143,899.49
  5. Step 5: Solve for x
    x = 17,817,143,899.49/152,576.40
  6. Step 6: Final answer
    x = 116,775.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.