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Finding the Fourth Proportional to 282,151.68, 423,259.64 and 102,321.84

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Solution

The fourth proportional to 282,151.68, 423,259.64 and 102,321.84 is: 153,494.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,151.68 : 423,259.64 = 102,321.84 : x
  2. Step 2: Convert to fraction form
    282,151.68/423,259.64 = 102,321.84/x
  3. Step 3: Cross multiply
    282,151.68x = 423,259.64 × 102,321.84
  4. Step 4: Simplify right side
    282,151.68x = 43,308,705,162.54
  5. Step 5: Solve for x
    x = 43,308,705,162.54/282,151.68
  6. Step 6: Final answer
    x = 153,494.41

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1.5x scale

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.