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Finding the Fourth Proportional to 165,877.30, 248,852.40 and 53,538.40

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Solution

The fourth proportional to 165,877.30, 248,852.40 and 53,538.40 is: 80,319.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,877.30 : 248,852.40 = 53,538.40 : x
  2. Step 2: Convert to fraction form
    165,877.30/248,852.40 = 53,538.40/x
  3. Step 3: Cross multiply
    165,877.30x = 248,852.40 × 53,538.40
  4. Step 4: Simplify right side
    165,877.30x = 13,323,159,332.16
  5. Step 5: Solve for x
    x = 13,323,159,332.16/165,877.30
  6. Step 6: Final answer
    x = 80,319.36

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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.