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Finding the Fourth Proportional to 97,880.84, 146,585.70 and 55,657.64

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Solution

The fourth proportional to 97,880.84, 146,585.70 and 55,657.64 is: 83,352.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,880.84 : 146,585.70 = 55,657.64 : x
  2. Step 2: Convert to fraction form
    97,880.84/146,585.70 = 55,657.64/x
  3. Step 3: Cross multiply
    97,880.84x = 146,585.70 × 55,657.64
  4. Step 4: Simplify right side
    97,880.84x = 8,158,614,119.75
  5. Step 5: Solve for x
    x = 8,158,614,119.75/97,880.84
  6. Step 6: Final answer
    x = 83,352.51

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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.