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Finding the Fourth Proportional to 196,145.94, 270,581.00 and 128,202.74

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Solution

The fourth proportional to 196,145.94, 270,581.00 and 128,202.74 is: 176,854.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,145.94 : 270,581.00 = 128,202.74 : x
  2. Step 2: Convert to fraction form
    196,145.94/270,581.00 = 128,202.74/x
  3. Step 3: Cross multiply
    196,145.94x = 270,581.00 × 128,202.74
  4. Step 4: Simplify right side
    196,145.94x = 34,689,223,598.02
  5. Step 5: Solve for x
    x = 34,689,223,598.02/196,145.94
  6. Step 6: Final answer
    x = 176,854.15

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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.