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Finding the Fourth Proportional to 120,297.66, 180,445.68 and 94,024.50

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Solution

The fourth proportional to 120,297.66, 180,445.68 and 94,024.50 is: 141,036.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,297.66 : 180,445.68 = 94,024.50 : x
  2. Step 2: Convert to fraction form
    120,297.66/180,445.68 = 94,024.50/x
  3. Step 3: Cross multiply
    120,297.66x = 180,445.68 × 94,024.50
  4. Step 4: Simplify right side
    120,297.66x = 16,966,314,839.16
  5. Step 5: Solve for x
    x = 16,966,314,839.16/120,297.66
  6. Step 6: Final answer
    x = 141,036.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.