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Finding the Fourth Proportional to 142,839.95, 197,106.75 and 81,585.83

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Solution

The fourth proportional to 142,839.95, 197,106.75 and 81,585.83 is: 112,581.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,839.95 : 197,106.75 = 81,585.83 : x
  2. Step 2: Convert to fraction form
    142,839.95/197,106.75 = 81,585.83/x
  3. Step 3: Cross multiply
    142,839.95x = 197,106.75 × 81,585.83
  4. Step 4: Simplify right side
    142,839.95x = 16,081,118,290.12
  5. Step 5: Solve for x
    x = 16,081,118,290.12/142,839.95
  6. Step 6: Final answer
    x = 112,581.38

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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.