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Finding the Fourth Proportional to 142,316.10, 213,478.47 and 48,820.50

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Solution

The fourth proportional to 142,316.10, 213,478.47 and 48,820.50 is: 73,232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,316.10 : 213,478.47 = 48,820.50 : x
  2. Step 2: Convert to fraction form
    142,316.10/213,478.47 = 48,820.50/x
  3. Step 3: Cross multiply
    142,316.10x = 213,478.47 × 48,820.50
  4. Step 4: Simplify right side
    142,316.10x = 10,422,125,644.64
  5. Step 5: Solve for x
    x = 10,422,125,644.64/142,316.10
  6. Step 6: Final answer
    x = 73,232.23

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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.