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Finding the Fourth Proportional to 105,052.58, 144,973.61 and 57,306.93

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Solution

The fourth proportional to 105,052.58, 144,973.61 and 57,306.93 is: 79,084.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,052.58 : 144,973.61 = 57,306.93 : x
  2. Step 2: Convert to fraction form
    105,052.58/144,973.61 = 57,306.93/x
  3. Step 3: Cross multiply
    105,052.58x = 144,973.61 × 57,306.93
  4. Step 4: Simplify right side
    105,052.58x = 8,307,992,233.58
  5. Step 5: Solve for x
    x = 8,307,992,233.58/105,052.58
  6. Step 6: Final answer
    x = 79,084.14

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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.