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Finding the Fourth Proportional to 142,304.64, 213,442.65 and 37,123.80

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Solution

The fourth proportional to 142,304.64, 213,442.65 and 37,123.80 is: 55,681.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,304.64 : 213,442.65 = 37,123.80 : x
  2. Step 2: Convert to fraction form
    142,304.64/213,442.65 = 37,123.80/x
  3. Step 3: Cross multiply
    142,304.64x = 213,442.65 × 37,123.80
  4. Step 4: Simplify right side
    142,304.64x = 7,923,802,250.07
  5. Step 5: Solve for x
    x = 7,923,802,250.07/142,304.64
  6. Step 6: Final answer
    x = 55,681.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.