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Finding the Fourth Proportional to 102,935.60, 154,403.40 and 101,380.40

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Solution

The fourth proportional to 102,935.60, 154,403.40 and 101,380.40 is: 152,070.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,935.60 : 154,403.40 = 101,380.40 : x
  2. Step 2: Convert to fraction form
    102,935.60/154,403.40 = 101,380.40/x
  3. Step 3: Cross multiply
    102,935.60x = 154,403.40 × 101,380.40
  4. Step 4: Simplify right side
    102,935.60x = 15,653,478,453.36
  5. Step 5: Solve for x
    x = 15,653,478,453.36/102,935.60
  6. Step 6: Final answer
    x = 152,070.60

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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.