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Finding the Fourth Proportional to 165,400.34, 248,244.56 and 94,465

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Solution

The fourth proportional to 165,400.34, 248,244.56 and 94,465 is: 141,779.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,400.34 : 248,244.56 = 94,465 : x
  2. Step 2: Convert to fraction form
    165,400.34/248,244.56 = 94,465/x
  3. Step 3: Cross multiply
    165,400.34x = 248,244.56 × 94,465
  4. Step 4: Simplify right side
    165,400.34x = 23,450,422,360.40
  5. Step 5: Solve for x
    x = 23,450,422,360.40/165,400.34
  6. Step 6: Final answer
    x = 141,779.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.