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Finding the Fourth Proportional to 142,287.60, 213,431.40 and 133,071.60

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Solution

The fourth proportional to 142,287.60, 213,431.40 and 133,071.60 is: 199,607.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,287.60 : 213,431.40 = 133,071.60 : x
  2. Step 2: Convert to fraction form
    142,287.60/213,431.40 = 133,071.60/x
  3. Step 3: Cross multiply
    142,287.60x = 213,431.40 × 133,071.60
  4. Step 4: Simplify right side
    142,287.60x = 28,401,657,888.24
  5. Step 5: Solve for x
    x = 28,401,657,888.24/142,287.60
  6. Step 6: Final answer
    x = 199,607.40

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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.