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Finding the Fourth Proportional to 102,409.60, 153,614.40 and 84,913.60

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Solution

The fourth proportional to 102,409.60, 153,614.40 and 84,913.60 is: 127,370.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,409.60 : 153,614.40 = 84,913.60 : x
  2. Step 2: Convert to fraction form
    102,409.60/153,614.40 = 84,913.60/x
  3. Step 3: Cross multiply
    102,409.60x = 153,614.40 × 84,913.60
  4. Step 4: Simplify right side
    102,409.60x = 13,043,951,715.84
  5. Step 5: Solve for x
    x = 13,043,951,715.84/102,409.60
  6. Step 6: Final answer
    x = 127,370.40

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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.