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Finding the Fourth Proportional to 105,557, 145,670.24 and 57,814.80

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Solution

The fourth proportional to 105,557, 145,670.24 and 57,814.80 is: 79,785.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,557 : 145,670.24 = 57,814.80 : x
  2. Step 2: Convert to fraction form
    105,557/145,670.24 = 57,814.80/x
  3. Step 3: Cross multiply
    105,557x = 145,670.24 × 57,814.80
  4. Step 4: Simplify right side
    105,557x = 8,421,895,791.55
  5. Step 5: Solve for x
    x = 8,421,895,791.55/105,557
  6. Step 6: Final answer
    x = 79,785.29

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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.