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Finding the Fourth Proportional to 105,721.12, 145,888.02 and 57,973.45

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Solution

The fourth proportional to 105,721.12, 145,888.02 and 57,973.45 is: 79,999.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,721.12 : 145,888.02 = 57,973.45 : x
  2. Step 2: Convert to fraction form
    105,721.12/145,888.02 = 57,973.45/x
  3. Step 3: Cross multiply
    105,721.12x = 145,888.02 × 57,973.45
  4. Step 4: Simplify right side
    105,721.12x = 8,457,631,833.07
  5. Step 5: Solve for x
    x = 8,457,631,833.07/105,721.12
  6. Step 6: Final answer
    x = 79,999.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.