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Finding the Fourth Proportional to 142,833.60, 197,044.11 and 100,417.14

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Solution

The fourth proportional to 142,833.60, 197,044.11 and 100,417.14 is: 138,529.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,833.60 : 197,044.11 = 100,417.14 : x
  2. Step 2: Convert to fraction form
    142,833.60/197,044.11 = 100,417.14/x
  3. Step 3: Cross multiply
    142,833.60x = 197,044.11 × 100,417.14
  4. Step 4: Simplify right side
    142,833.60x = 19,786,605,980.05
  5. Step 5: Solve for x
    x = 19,786,605,980.05/142,833.60
  6. Step 6: Final answer
    x = 138,529.07

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