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Finding the Fourth Proportional to 119,588.44, 164,970.30 and 77,079.64

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Solution

The fourth proportional to 119,588.44, 164,970.30 and 77,079.64 is: 106,330.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,588.44 : 164,970.30 = 77,079.64 : x
  2. Step 2: Convert to fraction form
    119,588.44/164,970.30 = 77,079.64/x
  3. Step 3: Cross multiply
    119,588.44x = 164,970.30 × 77,079.64
  4. Step 4: Simplify right side
    119,588.44x = 12,715,851,334.69
  5. Step 5: Solve for x
    x = 12,715,851,334.69/119,588.44
  6. Step 6: Final answer
    x = 106,330.10

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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.