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Finding the Fourth Proportional to 145,411.60, 218,117.40 and 82,166.80

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Solution

The fourth proportional to 145,411.60, 218,117.40 and 82,166.80 is: 123,250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,411.60 : 218,117.40 = 82,166.80 : x
  2. Step 2: Convert to fraction form
    145,411.60/218,117.40 = 82,166.80/x
  3. Step 3: Cross multiply
    145,411.60x = 218,117.40 × 82,166.80
  4. Step 4: Simplify right side
    145,411.60x = 17,922,008,782.32
  5. Step 5: Solve for x
    x = 17,922,008,782.32/145,411.60
  6. Step 6: Final answer
    x = 123,250.20

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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.