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Finding the Fourth Proportional to 152,570.42, 228,824.36 and 57,767.90

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Solution

The fourth proportional to 152,570.42, 228,824.36 and 57,767.90 is: 86,640.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,570.42 : 228,824.36 = 57,767.90 : x
  2. Step 2: Convert to fraction form
    152,570.42/228,824.36 = 57,767.90/x
  3. Step 3: Cross multiply
    152,570.42x = 228,824.36 × 57,767.90
  4. Step 4: Simplify right side
    152,570.42x = 13,218,703,029.27
  5. Step 5: Solve for x
    x = 13,218,703,029.27/152,570.42
  6. Step 6: Final answer
    x = 86,640.01

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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.