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Finding the Fourth Proportional to 119,094.32, 164,297.76 and 73,760.24

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Solution

The fourth proportional to 119,094.32, 164,297.76 and 73,760.24 is: 101,756.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,094.32 : 164,297.76 = 73,760.24 : x
  2. Step 2: Convert to fraction form
    119,094.32/164,297.76 = 73,760.24/x
  3. Step 3: Cross multiply
    119,094.32x = 164,297.76 × 73,760.24
  4. Step 4: Simplify right side
    119,094.32x = 12,118,642,209.06
  5. Step 5: Solve for x
    x = 12,118,642,209.06/119,094.32
  6. Step 6: Final answer
    x = 101,756.68

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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.