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Finding the Fourth Proportional to 201,946.90, 282,172.70 and 201,946.90

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Solution

The fourth proportional to 201,946.90, 282,172.70 and 201,946.90 is: 282,172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,946.90 : 282,172.70 = 201,946.90 : x
  2. Step 2: Convert to fraction form
    201,946.90/282,172.70 = 201,946.90/x
  3. Step 3: Cross multiply
    201,946.90x = 282,172.70 × 201,946.90
  4. Step 4: Simplify right side
    201,946.90x = 56,983,902,029.63
  5. Step 5: Solve for x
    x = 56,983,902,029.63/201,946.90
  6. Step 6: Final answer
    x = 282,172.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.