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Finding the Fourth Proportional to 142,483.05, 213,767.37 and 42,646.50

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Solution

The fourth proportional to 142,483.05, 213,767.37 and 42,646.50 is: 63,982.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,483.05 : 213,767.37 = 42,646.50 : x
  2. Step 2: Convert to fraction form
    142,483.05/213,767.37 = 42,646.50/x
  3. Step 3: Cross multiply
    142,483.05x = 213,767.37 × 42,646.50
  4. Step 4: Simplify right side
    142,483.05x = 9,116,430,144.71
  5. Step 5: Solve for x
    x = 9,116,430,144.71/142,483.05
  6. Step 6: Final answer
    x = 63,982.56

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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.