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Finding the Fourth Proportional to 102,022.40, 153,033.60 and 85,692.80

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Solution

The fourth proportional to 102,022.40, 153,033.60 and 85,692.80 is: 128,539.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,022.40 : 153,033.60 = 85,692.80 : x
  2. Step 2: Convert to fraction form
    102,022.40/153,033.60 = 85,692.80/x
  3. Step 3: Cross multiply
    102,022.40x = 153,033.60 × 85,692.80
  4. Step 4: Simplify right side
    102,022.40x = 13,113,877,678.08
  5. Step 5: Solve for x
    x = 13,113,877,678.08/102,022.40
  6. Step 6: Final answer
    x = 128,539.20

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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.