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Finding the Fourth Proportional to 120,701.40, 181,052.10 and 64,714.20

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Solution

The fourth proportional to 120,701.40, 181,052.10 and 64,714.20 is: 97,071.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,701.40 : 181,052.10 = 64,714.20 : x
  2. Step 2: Convert to fraction form
    120,701.40/181,052.10 = 64,714.20/x
  3. Step 3: Cross multiply
    120,701.40x = 181,052.10 × 64,714.20
  4. Step 4: Simplify right side
    120,701.40x = 11,716,641,809.82
  5. Step 5: Solve for x
    x = 11,716,641,809.82/120,701.40
  6. Step 6: Final answer
    x = 97,071.30

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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.