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Finding the Fourth Proportional to 102,004.70, 153,007.05 and 86,258.30

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Solution

The fourth proportional to 102,004.70, 153,007.05 and 86,258.30 is: 129,387.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,004.70 : 153,007.05 = 86,258.30 : x
  2. Step 2: Convert to fraction form
    102,004.70/153,007.05 = 86,258.30/x
  3. Step 3: Cross multiply
    102,004.70x = 153,007.05 × 86,258.30
  4. Step 4: Simplify right side
    102,004.70x = 13,198,128,021.02
  5. Step 5: Solve for x
    x = 13,198,128,021.02/102,004.70
  6. Step 6: Final answer
    x = 129,387.45

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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.