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Finding the Fourth Proportional to 142,001.90, 212,921.85 and 53,258.30

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Solution

The fourth proportional to 142,001.90, 212,921.85 and 53,258.30 is: 79,857.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,001.90 : 212,921.85 = 53,258.30 : x
  2. Step 2: Convert to fraction form
    142,001.90/212,921.85 = 53,258.30/x
  3. Step 3: Cross multiply
    142,001.90x = 212,921.85 × 53,258.30
  4. Step 4: Simplify right side
    142,001.90x = 11,339,855,763.86
  5. Step 5: Solve for x
    x = 11,339,855,763.86/142,001.90
  6. Step 6: Final answer
    x = 79,857.07

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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.