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Finding the Fourth Proportional to 152,052.32, 209,865.50 and 88,426.82

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Solution

The fourth proportional to 152,052.32, 209,865.50 and 88,426.82 is: 122,048.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,052.32 : 209,865.50 = 88,426.82 : x
  2. Step 2: Convert to fraction form
    152,052.32/209,865.50 = 88,426.82/x
  3. Step 3: Cross multiply
    152,052.32x = 209,865.50 × 88,426.82
  4. Step 4: Simplify right side
    152,052.32x = 18,557,738,792.71
  5. Step 5: Solve for x
    x = 18,557,738,792.71/152,052.32
  6. Step 6: Final answer
    x = 122,048.38

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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.