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Finding the Fourth Proportional to 128,305.40, 192,458.10 and 97,201.40

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Solution

The fourth proportional to 128,305.40, 192,458.10 and 97,201.40 is: 145,802.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,305.40 : 192,458.10 = 97,201.40 : x
  2. Step 2: Convert to fraction form
    128,305.40/192,458.10 = 97,201.40/x
  3. Step 3: Cross multiply
    128,305.40x = 192,458.10 × 97,201.40
  4. Step 4: Simplify right side
    128,305.40x = 18,707,196,761.34
  5. Step 5: Solve for x
    x = 18,707,196,761.34/128,305.40
  6. Step 6: Final answer
    x = 145,802.10

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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.