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Finding the Fourth Proportional to 144,477.60, 216,424.80 and 82,075.20

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Solution

The fourth proportional to 144,477.60, 216,424.80 and 82,075.20 is: 122,947.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,477.60 : 216,424.80 = 82,075.20 : x
  2. Step 2: Convert to fraction form
    144,477.60/216,424.80 = 82,075.20/x
  3. Step 3: Cross multiply
    144,477.60x = 216,424.80 × 82,075.20
  4. Step 4: Simplify right side
    144,477.60x = 17,763,108,744.96
  5. Step 5: Solve for x
    x = 17,763,108,744.96/144,477.60
  6. Step 6: Final answer
    x = 122,947.15

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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.