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Finding the Fourth Proportional to 120,592.50, 166,417.65 and 66,885.74

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Solution

The fourth proportional to 120,592.50, 166,417.65 and 66,885.74 is: 92,302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,592.50 : 166,417.65 = 66,885.74 : x
  2. Step 2: Convert to fraction form
    120,592.50/166,417.65 = 66,885.74/x
  3. Step 3: Cross multiply
    120,592.50x = 166,417.65 × 66,885.74
  4. Step 4: Simplify right side
    120,592.50x = 11,130,967,669.31
  5. Step 5: Solve for x
    x = 11,130,967,669.31/120,592.50
  6. Step 6: Final answer
    x = 92,302.32

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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.