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Finding the Fourth Proportional to 200,951.53, 277,313.72 and 110,316.78

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Solution

The fourth proportional to 200,951.53, 277,313.72 and 110,316.78 is: 152,237.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,951.53 : 277,313.72 = 110,316.78 : x
  2. Step 2: Convert to fraction form
    200,951.53/277,313.72 = 110,316.78/x
  3. Step 3: Cross multiply
    200,951.53x = 277,313.72 × 110,316.78
  4. Step 4: Simplify right side
    200,951.53x = 30,592,356,088.64
  5. Step 5: Solve for x
    x = 30,592,356,088.64/200,951.53
  6. Step 6: Final answer
    x = 152,237.49

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1.5x scale

Why These Related Problems?

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