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Finding the Fourth Proportional to 152,008.40, 228,077.40 and 95,891.60

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Solution

The fourth proportional to 152,008.40, 228,077.40 and 95,891.60 is: 143,878.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,008.40 : 228,077.40 = 95,891.60 : x
  2. Step 2: Convert to fraction form
    152,008.40/228,077.40 = 95,891.60/x
  3. Step 3: Cross multiply
    152,008.40x = 228,077.40 × 95,891.60
  4. Step 4: Simplify right side
    152,008.40x = 21,870,706,809.84
  5. Step 5: Solve for x
    x = 21,870,706,809.84/152,008.40
  6. Step 6: Final answer
    x = 143,878.28

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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.