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Finding the Fourth Proportional to 120,307.16, 180,459.92 and 94,034

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Solution

The fourth proportional to 120,307.16, 180,459.92 and 94,034 is: 141,050.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,307.16 : 180,459.92 = 94,034 : x
  2. Step 2: Convert to fraction form
    120,307.16/180,459.92 = 94,034/x
  3. Step 3: Cross multiply
    120,307.16x = 180,459.92 × 94,034
  4. Step 4: Simplify right side
    120,307.16x = 16,969,368,117.28
  5. Step 5: Solve for x
    x = 16,969,368,117.28/120,307.16
  6. Step 6: Final answer
    x = 141,050.36

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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.