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Finding the Fourth Proportional to 202,302.70, 303,782.10 and 146,534.20

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Solution

The fourth proportional to 202,302.70, 303,782.10 and 146,534.20 is: 220,038.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,302.70 : 303,782.10 = 146,534.20 : x
  2. Step 2: Convert to fraction form
    202,302.70/303,782.10 = 146,534.20/x
  3. Step 3: Cross multiply
    202,302.70x = 303,782.10 × 146,534.20
  4. Step 4: Simplify right side
    202,302.70x = 44,514,466,997.82
  5. Step 5: Solve for x
    x = 44,514,466,997.82/202,302.70
  6. Step 6: Final answer
    x = 220,038.92

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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.