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Finding the Fourth Proportional to 152,643.72, 228,939.66 and 40,325.16

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Solution

The fourth proportional to 152,643.72, 228,939.66 and 40,325.16 is: 60,480.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,643.72 : 228,939.66 = 40,325.16 : x
  2. Step 2: Convert to fraction form
    152,643.72/228,939.66 = 40,325.16/x
  3. Step 3: Cross multiply
    152,643.72x = 228,939.66 × 40,325.16
  4. Step 4: Simplify right side
    152,643.72x = 9,232,028,419.85
  5. Step 5: Solve for x
    x = 9,232,028,419.85/152,643.72
  6. Step 6: Final answer
    x = 60,480.89

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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.