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Finding the Fourth Proportional to 151,442.50, 208,992.07 and 83,461.92

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Solution

The fourth proportional to 151,442.50, 208,992.07 and 83,461.92 is: 115,178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,442.50 : 208,992.07 = 83,461.92 : x
  2. Step 2: Convert to fraction form
    151,442.50/208,992.07 = 83,461.92/x
  3. Step 3: Cross multiply
    151,442.50x = 208,992.07 × 83,461.92
  4. Step 4: Simplify right side
    151,442.50x = 17,442,879,570.11
  5. Step 5: Solve for x
    x = 17,442,879,570.11/151,442.50
  6. Step 6: Final answer
    x = 115,178.23

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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.