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Finding the Fourth Proportional to 142,152.64, 213,324 and 59,046.64

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Solution

The fourth proportional to 142,152.64, 213,324 and 59,046.64 is: 88,609.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,152.64 : 213,324 = 59,046.64 : x
  2. Step 2: Convert to fraction form
    142,152.64/213,324 = 59,046.64/x
  3. Step 3: Cross multiply
    142,152.64x = 213,324 × 59,046.64
  4. Step 4: Simplify right side
    142,152.64x = 12,596,065,431.36
  5. Step 5: Solve for x
    x = 12,596,065,431.36/142,152.64
  6. Step 6: Final answer
    x = 88,609.44

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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.