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Finding the Fourth Proportional to 145,975.60, 219,049.80 and 96,199.60

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Solution

The fourth proportional to 145,975.60, 219,049.80 and 96,199.60 is: 144,356.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,975.60 : 219,049.80 = 96,199.60 : x
  2. Step 2: Convert to fraction form
    145,975.60/219,049.80 = 96,199.60/x
  3. Step 3: Cross multiply
    145,975.60x = 219,049.80 × 96,199.60
  4. Step 4: Simplify right side
    145,975.60x = 21,072,503,140.08
  5. Step 5: Solve for x
    x = 21,072,503,140.08/145,975.60
  6. Step 6: Final answer
    x = 144,356.34

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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.