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Finding the Fourth Proportional to 133,792.30, 200,518.35 and 54,817.30

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Solution

The fourth proportional to 133,792.30, 200,518.35 and 54,817.30 is: 82,156.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,792.30 : 200,518.35 = 54,817.30 : x
  2. Step 2: Convert to fraction form
    133,792.30/200,518.35 = 54,817.30/x
  3. Step 3: Cross multiply
    133,792.30x = 200,518.35 × 54,817.30
  4. Step 4: Simplify right side
    133,792.30x = 10,991,874,547.46
  5. Step 5: Solve for x
    x = 10,991,874,547.46/133,792.30
  6. Step 6: Final answer
    x = 82,156.26

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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.