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Finding the Fourth Proportional to 164,208.68, 226,607.64 and 88,757

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Solution

The fourth proportional to 164,208.68, 226,607.64 and 88,757 is: 122,484.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,208.68 : 226,607.64 = 88,757 : x
  2. Step 2: Convert to fraction form
    164,208.68/226,607.64 = 88,757/x
  3. Step 3: Cross multiply
    164,208.68x = 226,607.64 × 88,757
  4. Step 4: Simplify right side
    164,208.68x = 20,113,014,303.48
  5. Step 5: Solve for x
    x = 20,113,014,303.48/164,208.68
  6. Step 6: Final answer
    x = 122,484.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.