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Finding the Fourth Proportional to 85,409.40, 128,114.10 and 57,415.80

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Solution

The fourth proportional to 85,409.40, 128,114.10 and 57,415.80 is: 86,123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,409.40 : 128,114.10 = 57,415.80 : x
  2. Step 2: Convert to fraction form
    85,409.40/128,114.10 = 57,415.80/x
  3. Step 3: Cross multiply
    85,409.40x = 128,114.10 × 57,415.80
  4. Step 4: Simplify right side
    85,409.40x = 7,355,773,542.78
  5. Step 5: Solve for x
    x = 7,355,773,542.78/85,409.40
  6. Step 6: Final answer
    x = 86,123.70

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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.