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Finding the Fourth Proportional to 130,493, 180,080.52 and 70,877

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Solution

The fourth proportional to 130,493, 180,080.52 and 70,877 is: 97,810.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,493 : 180,080.52 = 70,877 : x
  2. Step 2: Convert to fraction form
    130,493/180,080.52 = 70,877/x
  3. Step 3: Cross multiply
    130,493x = 180,080.52 × 70,877
  4. Step 4: Simplify right side
    130,493x = 12,763,567,016.04
  5. Step 5: Solve for x
    x = 12,763,567,016.04/130,493
  6. Step 6: Final answer
    x = 97,810.36

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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.