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Finding the Fourth Proportional to 152,578.40, 228,802.80 and 73,716.80

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Solution

The fourth proportional to 152,578.40, 228,802.80 and 73,716.80 is: 110,543.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,578.40 : 228,802.80 = 73,716.80 : x
  2. Step 2: Convert to fraction form
    152,578.40/228,802.80 = 73,716.80/x
  3. Step 3: Cross multiply
    152,578.40x = 228,802.80 × 73,716.80
  4. Step 4: Simplify right side
    152,578.40x = 16,866,610,247.04
  5. Step 5: Solve for x
    x = 16,866,610,247.04/152,578.40
  6. Step 6: Final answer
    x = 110,543.89

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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.