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Finding the Fourth Proportional to 174,496.64, 261,719.76 and 56,152.64

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Solution

The fourth proportional to 174,496.64, 261,719.76 and 56,152.64 is: 84,220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,496.64 : 261,719.76 = 56,152.64 : x
  2. Step 2: Convert to fraction form
    174,496.64/261,719.76 = 56,152.64/x
  3. Step 3: Cross multiply
    174,496.64x = 261,719.76 × 56,152.64
  4. Step 4: Simplify right side
    174,496.64x = 14,696,255,464.17
  5. Step 5: Solve for x
    x = 14,696,255,464.17/174,496.64
  6. Step 6: Final answer
    x = 84,220.85

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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.