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Finding the Fourth Proportional to 164,202, 226,598.70 and 88,750.50

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Solution

The fourth proportional to 164,202, 226,598.70 and 88,750.50 is: 122,475.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,202 : 226,598.70 = 88,750.50 : x
  2. Step 2: Convert to fraction form
    164,202/226,598.70 = 88,750.50/x
  3. Step 3: Cross multiply
    164,202x = 226,598.70 × 88,750.50
  4. Step 4: Simplify right side
    164,202x = 20,110,747,924.35
  5. Step 5: Solve for x
    x = 20,110,747,924.35/164,202
  6. Step 6: Final answer
    x = 122,475.66

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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.