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Finding the Fourth Proportional to 282,700.80, 424,051.20 and 142,732.80

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Solution

The fourth proportional to 282,700.80, 424,051.20 and 142,732.80 is: 214,099.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,700.80 : 424,051.20 = 142,732.80 : x
  2. Step 2: Convert to fraction form
    282,700.80/424,051.20 = 142,732.80/x
  3. Step 3: Cross multiply
    282,700.80x = 424,051.20 × 142,732.80
  4. Step 4: Simplify right side
    282,700.80x = 60,526,015,119.36
  5. Step 5: Solve for x
    x = 60,526,015,119.36/282,700.80
  6. Step 6: Final answer
    x = 214,099.20

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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.