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Finding the Fourth Proportional to 282,513.70, 389,893.01 and 160,027.93

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Solution

The fourth proportional to 282,513.70, 389,893.01 and 160,027.93 is: 220,852.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,513.70 : 389,893.01 = 160,027.93 : x
  2. Step 2: Convert to fraction form
    282,513.70/389,893.01 = 160,027.93/x
  3. Step 3: Cross multiply
    282,513.70x = 389,893.01 × 160,027.93
  4. Step 4: Simplify right side
    282,513.70x = 62,393,771,311.77
  5. Step 5: Solve for x
    x = 62,393,771,311.77/282,513.70
  6. Step 6: Final answer
    x = 220,852.20

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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.