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Finding the Fourth Proportional to 119,151.64, 164,429.17 and 65,440.05

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Solution

The fourth proportional to 119,151.64, 164,429.17 and 65,440.05 is: 90,307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,151.64 : 164,429.17 = 65,440.05 : x
  2. Step 2: Convert to fraction form
    119,151.64/164,429.17 = 65,440.05/x
  3. Step 3: Cross multiply
    119,151.64x = 164,429.17 × 65,440.05
  4. Step 4: Simplify right side
    119,151.64x = 10,760,253,106.26
  5. Step 5: Solve for x
    x = 10,760,253,106.26/119,151.64
  6. Step 6: Final answer
    x = 90,307.22

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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.