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Finding the Fourth Proportional to 142,880.76, 214,329.24 and 43,054.74

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Solution

The fourth proportional to 142,880.76, 214,329.24 and 43,054.74 is: 64,584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,880.76 : 214,329.24 = 43,054.74 : x
  2. Step 2: Convert to fraction form
    142,880.76/214,329.24 = 43,054.74/x
  3. Step 3: Cross multiply
    142,880.76x = 214,329.24 × 43,054.74
  4. Step 4: Simplify right side
    142,880.76x = 9,227,889,702.60
  5. Step 5: Solve for x
    x = 9,227,889,702.60/142,880.76
  6. Step 6: Final answer
    x = 64,584.55

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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.