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Finding the Fourth Proportional to 164,098, 226,455.24 and 88,646.50

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Solution

The fourth proportional to 164,098, 226,455.24 and 88,646.50 is: 122,332.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,098 : 226,455.24 = 88,646.50 : x
  2. Step 2: Convert to fraction form
    164,098/226,455.24 = 88,646.50/x
  3. Step 3: Cross multiply
    164,098x = 226,455.24 × 88,646.50
  4. Step 4: Simplify right side
    164,098x = 20,074,464,432.66
  5. Step 5: Solve for x
    x = 20,074,464,432.66/164,098
  6. Step 6: Final answer
    x = 122,332.17

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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.