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Finding the Fourth Proportional to 102,024.40, 153,036.60 and 85,694.80

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Solution

The fourth proportional to 102,024.40, 153,036.60 and 85,694.80 is: 128,542.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,024.40 : 153,036.60 = 85,694.80 : x
  2. Step 2: Convert to fraction form
    102,024.40/153,036.60 = 85,694.80/x
  3. Step 3: Cross multiply
    102,024.40x = 153,036.60 × 85,694.80
  4. Step 4: Simplify right side
    102,024.40x = 13,114,440,829.68
  5. Step 5: Solve for x
    x = 13,114,440,829.68/102,024.40
  6. Step 6: Final answer
    x = 128,542.20

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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.