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Finding the Fourth Proportional to 174,964, 262,484.88 and 64,156

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Solution

The fourth proportional to 174,964, 262,484.88 and 64,156 is: 96,248.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,964 : 262,484.88 = 64,156 : x
  2. Step 2: Convert to fraction form
    174,964/262,484.88 = 64,156/x
  3. Step 3: Cross multiply
    174,964x = 262,484.88 × 64,156
  4. Step 4: Simplify right side
    174,964x = 16,839,979,961.28
  5. Step 5: Solve for x
    x = 16,839,979,961.28/174,964
  6. Step 6: Final answer
    x = 96,248.26

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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.