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Finding the Fourth Proportional to 142,328.40, 213,420.16 and 47,524.51

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Solution

The fourth proportional to 142,328.40, 213,420.16 and 47,524.51 is: 71,262.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,328.40 : 213,420.16 = 47,524.51 : x
  2. Step 2: Convert to fraction form
    142,328.40/213,420.16 = 47,524.51/x
  3. Step 3: Cross multiply
    142,328.40x = 213,420.16 × 47,524.51
  4. Step 4: Simplify right side
    142,328.40x = 10,142,688,528.12
  5. Step 5: Solve for x
    x = 10,142,688,528.12/142,328.40
  6. Step 6: Final answer
    x = 71,262.58

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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.