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Finding the Fourth Proportional to 282,407.50, 389,722.35 and 155,085.22

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Solution

The fourth proportional to 282,407.50, 389,722.35 and 155,085.22 is: 214,017.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,407.50 : 389,722.35 = 155,085.22 : x
  2. Step 2: Convert to fraction form
    282,407.50/389,722.35 = 155,085.22/x
  3. Step 3: Cross multiply
    282,407.50x = 389,722.35 × 155,085.22
  4. Step 4: Simplify right side
    282,407.50x = 60,440,176,388.67
  5. Step 5: Solve for x
    x = 60,440,176,388.67/282,407.50
  6. Step 6: Final answer
    x = 214,017.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.