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Finding the Fourth Proportional to 98,135.60, 147,088.20 and 45,433.76

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Solution

The fourth proportional to 98,135.60, 147,088.20 and 45,433.76 is: 68,097.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,135.60 : 147,088.20 = 45,433.76 : x
  2. Step 2: Convert to fraction form
    98,135.60/147,088.20 = 45,433.76/x
  3. Step 3: Cross multiply
    98,135.60x = 147,088.20 × 45,433.76
  4. Step 4: Simplify right side
    98,135.60x = 6,682,769,977.63
  5. Step 5: Solve for x
    x = 6,682,769,977.63/98,135.60
  6. Step 6: Final answer
    x = 68,097.31

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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.