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Finding the Fourth Proportional to 119,541.24, 164,898 and 74,751.48

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Solution

The fourth proportional to 119,541.24, 164,898 and 74,751.48 is: 103,113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,541.24 : 164,898 = 74,751.48 : x
  2. Step 2: Convert to fraction form
    119,541.24/164,898 = 74,751.48/x
  3. Step 3: Cross multiply
    119,541.24x = 164,898 × 74,751.48
  4. Step 4: Simplify right side
    119,541.24x = 12,326,369,549.04
  5. Step 5: Solve for x
    x = 12,326,369,549.04/119,541.24
  6. Step 6: Final answer
    x = 103,113.95

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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.