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Finding the Fourth Proportional to 255,220, 382,833.24 and 89,008

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Solution

The fourth proportional to 255,220, 382,833.24 and 89,008 is: 133,513.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,220 : 382,833.24 = 89,008 : x
  2. Step 2: Convert to fraction form
    255,220/382,833.24 = 89,008/x
  3. Step 3: Cross multiply
    255,220x = 382,833.24 × 89,008
  4. Step 4: Simplify right side
    255,220x = 34,075,221,025.92
  5. Step 5: Solve for x
    x = 34,075,221,025.92/255,220
  6. Step 6: Final answer
    x = 133,513.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.