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Finding the Fourth Proportional to 255,254.42, 382,852.60 and 68,280.50

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Solution

The fourth proportional to 255,254.42, 382,852.60 and 68,280.50 is: 102,412.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,254.42 : 382,852.60 = 68,280.50 : x
  2. Step 2: Convert to fraction form
    255,254.42/382,852.60 = 68,280.50/x
  3. Step 3: Cross multiply
    255,254.42x = 382,852.60 × 68,280.50
  4. Step 4: Simplify right side
    255,254.42x = 26,141,366,954.30
  5. Step 5: Solve for x
    x = 26,141,366,954.30/255,254.42
  6. Step 6: Final answer
    x = 102,412.98

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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.