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Finding the Fourth Proportional to 120,534.40, 180,801.60 and 64,547.20

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Solution

The fourth proportional to 120,534.40, 180,801.60 and 64,547.20 is: 96,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,534.40 : 180,801.60 = 64,547.20 : x
  2. Step 2: Convert to fraction form
    120,534.40/180,801.60 = 64,547.20/x
  3. Step 3: Cross multiply
    120,534.40x = 180,801.60 × 64,547.20
  4. Step 4: Simplify right side
    120,534.40x = 11,670,237,035.52
  5. Step 5: Solve for x
    x = 11,670,237,035.52/120,534.40
  6. Step 6: Final answer
    x = 96,820.80

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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.