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Finding the Fourth Proportional to 119,521, 164,938.98 and 66,529

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Solution

The fourth proportional to 119,521, 164,938.98 and 66,529 is: 91,810.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,521 : 164,938.98 = 66,529 : x
  2. Step 2: Convert to fraction form
    119,521/164,938.98 = 66,529/x
  3. Step 3: Cross multiply
    119,521x = 164,938.98 × 66,529
  4. Step 4: Simplify right side
    119,521x = 10,973,225,400.42
  5. Step 5: Solve for x
    x = 10,973,225,400.42/119,521
  6. Step 6: Final answer
    x = 91,810.02

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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.