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Finding the Fourth Proportional to 142,001.40, 213,002.10 and 118,673.40

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Solution

The fourth proportional to 142,001.40, 213,002.10 and 118,673.40 is: 178,010.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,001.40 : 213,002.10 = 118,673.40 : x
  2. Step 2: Convert to fraction form
    142,001.40/213,002.10 = 118,673.40/x
  3. Step 3: Cross multiply
    142,001.40x = 213,002.10 × 118,673.40
  4. Step 4: Simplify right side
    142,001.40x = 25,277,683,414.14
  5. Step 5: Solve for x
    x = 25,277,683,414.14/142,001.40
  6. Step 6: Final answer
    x = 178,010.10

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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.