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Finding the Fourth Proportional to 142,123.71, 213,114.26 and 47,320.50

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Solution

The fourth proportional to 142,123.71, 213,114.26 and 47,320.50 is: 70,957.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,123.71 : 213,114.26 = 47,320.50 : x
  2. Step 2: Convert to fraction form
    142,123.71/213,114.26 = 47,320.50/x
  3. Step 3: Cross multiply
    142,123.71x = 213,114.26 × 47,320.50
  4. Step 4: Simplify right side
    142,123.71x = 10,084,673,991.63
  5. Step 5: Solve for x
    x = 10,084,673,991.63/142,123.71
  6. Step 6: Final answer
    x = 70,957.01

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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.