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Finding the Fourth Proportional to 134,809.60, 202,214.40 and 64,652.80

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Solution

The fourth proportional to 134,809.60, 202,214.40 and 64,652.80 is: 96,979.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,809.60 : 202,214.40 = 64,652.80 : x
  2. Step 2: Convert to fraction form
    134,809.60/202,214.40 = 64,652.80/x
  3. Step 3: Cross multiply
    134,809.60x = 202,214.40 × 64,652.80
  4. Step 4: Simplify right side
    134,809.60x = 13,073,727,160.32
  5. Step 5: Solve for x
    x = 13,073,727,160.32/134,809.60
  6. Step 6: Final answer
    x = 96,979.20

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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.