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Finding the Fourth Proportional to 142,873.44, 214,266.40 and 98,783.52

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Solution

The fourth proportional to 142,873.44, 214,266.40 and 98,783.52 is: 148,145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,873.44 : 214,266.40 = 98,783.52 : x
  2. Step 2: Convert to fraction form
    142,873.44/214,266.40 = 98,783.52/x
  3. Step 3: Cross multiply
    142,873.44x = 214,266.40 × 98,783.52
  4. Step 4: Simplify right side
    142,873.44x = 21,165,988,159.27
  5. Step 5: Solve for x
    x = 21,165,988,159.27/142,873.44
  6. Step 6: Final answer
    x = 148,145.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.