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Finding the Fourth Proportional to 142,873.38, 197,125.44 and 112,564.80

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Solution

The fourth proportional to 142,873.38, 197,125.44 and 112,564.80 is: 155,308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,873.38 : 197,125.44 = 112,564.80 : x
  2. Step 2: Convert to fraction form
    142,873.38/197,125.44 = 112,564.80/x
  3. Step 3: Cross multiply
    142,873.38x = 197,125.44 × 112,564.80
  4. Step 4: Simplify right side
    142,873.38x = 22,189,385,728.51
  5. Step 5: Solve for x
    x = 22,189,385,728.51/142,873.38
  6. Step 6: Final answer
    x = 155,308.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.