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Finding the Fourth Proportional to 152,576, 210,567.84 and 85,520.96

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Solution

The fourth proportional to 152,576, 210,567.84 and 85,520.96 is: 118,026.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,576 : 210,567.84 = 85,520.96 : x
  2. Step 2: Convert to fraction form
    152,576/210,567.84 = 85,520.96/x
  3. Step 3: Cross multiply
    152,576x = 210,567.84 × 85,520.96
  4. Step 4: Simplify right side
    152,576x = 18,007,963,821.93
  5. Step 5: Solve for x
    x = 18,007,963,821.93/152,576
  6. Step 6: Final answer
    x = 118,026.19

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