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Finding the Fourth Proportional to 152,628.80, 228,943.20 and 144,027.20

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Solution

The fourth proportional to 152,628.80, 228,943.20 and 144,027.20 is: 216,040.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,628.80 : 228,943.20 = 144,027.20 : x
  2. Step 2: Convert to fraction form
    152,628.80/228,943.20 = 144,027.20/x
  3. Step 3: Cross multiply
    152,628.80x = 228,943.20 × 144,027.20
  4. Step 4: Simplify right side
    152,628.80x = 32,974,048,055.04
  5. Step 5: Solve for x
    x = 32,974,048,055.04/152,628.80
  6. Step 6: Final answer
    x = 216,040.80

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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.