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Finding the Fourth Proportional to 165,005.30, 247,070.55 and 130,013.30

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Solution

The fourth proportional to 165,005.30, 247,070.55 and 130,013.30 is: 194,675.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,005.30 : 247,070.55 = 130,013.30 : x
  2. Step 2: Convert to fraction form
    165,005.30/247,070.55 = 130,013.30/x
  3. Step 3: Cross multiply
    165,005.30x = 247,070.55 × 130,013.30
  4. Step 4: Simplify right side
    165,005.30x = 32,122,457,538.32
  5. Step 5: Solve for x
    x = 32,122,457,538.32/165,005.30
  6. Step 6: Final answer
    x = 194,675.31

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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.