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Finding the Fourth Proportional to 102,022.60, 152,688.30 and 102,022.60

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Solution

The fourth proportional to 102,022.60, 152,688.30 and 102,022.60 is: 152,688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,022.60 : 152,688.30 = 102,022.60 : x
  2. Step 2: Convert to fraction form
    102,022.60/152,688.30 = 102,022.60/x
  3. Step 3: Cross multiply
    102,022.60x = 152,688.30 × 102,022.60
  4. Step 4: Simplify right side
    102,022.60x = 15,577,657,355.58
  5. Step 5: Solve for x
    x = 15,577,657,355.58/102,022.60
  6. Step 6: Final answer
    x = 152,688.30

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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.