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Finding the Fourth Proportional to 103,128.90, 142,321.76 and 57,807.76

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Solution

The fourth proportional to 103,128.90, 142,321.76 and 57,807.76 is: 79,776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,128.90 : 142,321.76 = 57,807.76 : x
  2. Step 2: Convert to fraction form
    103,128.90/142,321.76 = 57,807.76/x
  3. Step 3: Cross multiply
    103,128.90x = 142,321.76 × 57,807.76
  4. Step 4: Simplify right side
    103,128.90x = 8,227,302,584.07
  5. Step 5: Solve for x
    x = 8,227,302,584.07/103,128.90
  6. Step 6: Final answer
    x = 79,776.89

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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.