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Finding the Fourth Proportional to 105,053.94, 144,973.49 and 57,306.26

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Solution

The fourth proportional to 105,053.94, 144,973.49 and 57,306.26 is: 79,082.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,053.94 : 144,973.49 = 57,306.26 : x
  2. Step 2: Convert to fraction form
    105,053.94/144,973.49 = 57,306.26/x
  3. Step 3: Cross multiply
    105,053.94x = 144,973.49 × 57,306.26
  4. Step 4: Simplify right side
    105,053.94x = 8,307,887,499.65
  5. Step 5: Solve for x
    x = 8,307,887,499.65/105,053.94
  6. Step 6: Final answer
    x = 79,082.11

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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.