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Finding the Fourth Proportional to 152,082.30, 228,123.45 and 146,250.30

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Solution

The fourth proportional to 152,082.30, 228,123.45 and 146,250.30 is: 219,375.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,082.30 : 228,123.45 = 146,250.30 : x
  2. Step 2: Convert to fraction form
    152,082.30/228,123.45 = 146,250.30/x
  3. Step 3: Cross multiply
    152,082.30x = 228,123.45 × 146,250.30
  4. Step 4: Simplify right side
    152,082.30x = 33,363,122,999.54
  5. Step 5: Solve for x
    x = 33,363,122,999.54/152,082.30
  6. Step 6: Final answer
    x = 219,375.45

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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.